Iako je promena bila velika, sada nam je kod kuće lakše i planiramo još jedan odmor sledeće godine.

Iako means although / even though. It introduces a concessive clause: a clause that says something happened despite something else.

So:

• Iako je promena bila velika = Although the change was big
• main clause: sada nam je kod kuće lakše... = now things are easier for us at home...

A very natural English equivalent would be:

• Although the change was big, things are easier for us at home now...

Both are possible, but Serbian has special rules for clitics like je. Clitics usually go in the second position of their clause.

So in:

• Iako je promena bila velika

the word iako takes the first position, and je comes right after it.

That is why you get:

• Iako je promena bila velika

rather than the more English-like word order:

• Iako promena je bila velika (not natural)

This is a very common Serbian pattern.

Yes. Promena is a feminine singular noun, and velika is the feminine singular form of the adjective velik.

So:

• promena = change
• bila = was (feminine singular past participle)
• velika = big (feminine singular)

Everything agrees with promena:

• promena — feminine singular noun
• bila — feminine singular
• velika — feminine singular

That is why you do not get bio velik here.

In the Serbian past tense, the participle agrees with the subject in gender and number.

Since promena is feminine singular, you need:

• bila

Compare:

• problem je bio veliki = the problem was big
• promena je bila velika = the change was big

So bila is used because the subject is feminine.

Nam is the dative plural form of mi (we/us), and here it means to us or for us.

So:

• sada nam je lakše = now it is easier for us

This is a very common Serbian structure:

• Meni je teško. = It is hard for me.
• Nama je lepo. = It is nice for us / We feel good.
• Nam je lakše. = It is easier for us.

English often uses a different structure, but Serbian regularly uses the dative like this.

Because lakše here is not describing a noun directly. It is being used in an impersonal predicate expression meaning easier.

So:

• nam je lakše = it is easier for us

This is similar to:

• teško mi je = it is hard for me
• hladno nam je = we are cold / it is cold to us
• lepše joj je ovde = it is nicer for her here

If you were describing a feminine noun, then you might use lakša:

• situacija je lakša = the situation is easier

But in this sentence, lakše means things are easier or it is easier.

Yes. Lakše is the comparative of lako / related to lak and means more easily / easier.

Here it means:

• sada nam je lakše = now it is easier for us

The comparison is implied, even though Serbian does not explicitly say what it is compared to. The idea is:

• easier than before
• easier than it used to be

This kind of implied comparison is very common.

Kod kuće means at home.

It is a fixed expression in Serbian:

• kod kuće = at home

Examples:

• Ostajem kod kuće. = I’m staying at home.
• Nismo kod kuće. = We’re not at home.

In your sentence:

• sada nam je kod kuće lakše = now it’s easier for us at home

This is a very common learner question.

• kod kuće = at home (location)
• kući can mean homeward / to home, and in some contexts also appears in expressions related to home, but kod kuće is the standard phrase for being at home

Examples:

• Kod kuće sam. = I am at home.
• Idem kući. = I’m going home.

So in this sentence, because the meaning is location, kod kuće is exactly what you want.

Serbian word order is flexible, but clitics like nam and je tend to come very early in the clause, usually in second position.

So:

• sada = first element
• nam je = clitic cluster placed early
• kod kuće = at home
• lakše = easier

A natural English restructuring would be:

• Now it is easier for us at home

But Serbian prefers the clitics near the beginning:

• sada nam je kod kuće lakše

Other orders may be possible for emphasis, but this one sounds natural and neutral.

It can mean either one more vacation/holiday or another vacation/holiday, depending on context.

• još = more, still, another
• jedan = one
• odmor = vacation / holiday / break / time off

So:

• planiramo još jedan odmor = we’re planning another vacation

In natural English, another vacation is probably the best translation here.

Because odmor is the direct object of planiramo, and here it is in the accusative singular.

For masculine inanimate nouns, the accusative singular is usually the same as the nominative singular.

So:

• nominative: odmor
• accusative: odmor

That is why you see:

• planiramo odmor = we are planning a vacation

If it were a noun with a different accusative form, you would see a different ending.

Sledeće godine is a time expression meaning next year.

Here:

• sledeće = feminine singular form of sledeći (next / following)
• godine = genitive singular of godina

Serbian often uses the genitive for expressions of time like this:

• ovog meseca = this month
• prošle godine = last year
• sledeće godine = next year

So this is a very normal pattern you should learn as a chunk.

Because the phrase requires genitive singular, not nominative.

• nominative: sledeća godina = the next year
• genitive: sledeće godine = of the next year / next year

In this sentence, the phrase is being used adverbially to express when something will happen, so Serbian uses the genitive form:

• sledeće godine

Planirati is normally used as an imperfective verb, and planiramo means we are planning / we plan.

Here it fits well because planning is seen as an ongoing intention or present plan:

• planiramo još jedan odmor = we’re planning another vacation

In many cases, Serbian uses the present tense where English might choose either:

• we plan
• we are planning

Both can work depending on context.

Yes. Serbian often leaves this kind of subject implicit.

The phrase:

• nam je lakše

literally corresponds to something like:

• it is easier for us

or more naturally:

• things are easier for us

There is no need to say an explicit word for things. Serbian commonly uses these impersonal expressions without a stated subject.

Yes, because Iako je promena bila velika is a subordinate clause placed before the main clause.

So the structure is:

• subordinate clause: Iako je promena bila velika
• main clause: sada nam je kod kuće lakše i planiramo još jedan odmor sledeće godine

A comma before the main clause is standard and natural here.

Yes. The subject is understood from the verb ending.

• planiramo = we plan / we are planning

Serbian often omits pronouns like mi (we) because the verb ending already shows the subject.

So:

• sada nam je kod kuće lakše i planiramo...

naturally means:

• now things are easier for us at home, and we are planning...

There is no need to add mi unless you want emphasis.