Főleg otthon főzünk.

• főleg = mainly, mostly, especially
• otthon = at home, home
• főzünk = we cook

So the whole sentence means something like We mostly cook at home or We mainly cook at home.

In Hungarian, the verb ending usually shows the subject, so the pronoun is often left out.

Here, főzünk ends in -ünk, which tells you the subject is we.

So:

• főzünk = we cook

You could say Mi főleg otthon főzünk, but mi is usually only added for emphasis, for example:

• Mi főleg otthon főzünk, nem étteremben.
  We mostly cook at home, not in restaurants.

The ending -ünk is a verb ending meaning we in the present tense.

So:

• főz = (he/she/it) cooks
• főzök = I cook
• főzöl = you cook
• főzünk = we cook

This is why Hungarian often does not need a separate subject pronoun.

This is a very common question, because Hungarian has two main verb conjugations: indefinite and definite.

Here, főzünk is the indefinite form. It is used when:

• there is no object, or
• the object is not definite/specific

In Főleg otthon főzünk, there is no direct object at all. The sentence just says we cook.

By contrast, főzzük is a definite form and would usually be used when there is a definite object, for example:

• A vacsorát főzzük. = We are cooking the dinner.

So in this sentence, főzünk is the correct form.

Otthon is a very common Hungarian adverb meaning at home or home. It already works as a location word by itself, so you do not need an extra case ending here.

So:

• otthon = at home

This is similar to how English says at home, not usually in the home.

Compare:

• Otthon vagyok. = I am at home.
• Otthon főzünk. = We cook at home.

You could say a házban in other contexts, but that means more literally in the house, which is not always the same as at home.

Főleg can mean mainly, mostly, and sometimes especially, depending on context.

In this sentence, the most natural translation is:

• mostly
• mainly

So:

• Főleg otthon főzünk. = We mostly/mainly cook at home.

In other contexts, főleg can also have a sense closer to especially, for example:

• Főleg télen szeretem ezt. = I especially like this in winter.

So the exact English word depends on the sentence.

Yes, Hungarian word order is flexible, but different orders give different emphasis.

Főleg otthon főzünk is natural and means something like:

• We mainly cook at home
• with emphasis on at home as the main place

Other possible orders can shift the focus:

• Otthon főleg főzünk.
  This is possible, but sounds more marked and less neutral. It can suggest: At home, what we mainly do is cook.

• Főzünk főleg otthon.
  Grammatically possible, but less natural in everyday neutral speech.

Hungarian often puts the focused or important information just before the verb. In this sentence, otthon is in that important pre-verbal position.

Very often, yes. In Hungarian, the word right before the verb often gets strong emphasis or focus.

In:

• Főleg otthon főzünk

the word before the verb is otthon, so the sentence highlights at home. It suggests something like:

• It is mostly at home that we cook
• rather than, for example, somewhere else

Meanwhile, főleg modifies the whole idea with mainly/mostly.

A rough pronunciation guide:

• főleg ≈ fur-leg, but with a rounded vowel at the start
• otthon ≈ ot-thon
• főzünk ≈ fur-zewnk, again with rounded vowels

The trickiest sounds for English speakers are:

• ő: a long rounded vowel, somewhat like a rounded version of the vowel in bird
• ö: a shorter version of that rounded sound
• ü: like a rounded ee

Also:

• sz in Hungarian is pronounced like English s
• plain s is pronounced like English sh

So in főzünk, the z is really z, not s.

Hungarian present tense often covers both:

• right now
• habitually / generally

So Főleg otthon főzünk usually sounds like a habitual statement:

• We mostly cook at home
• We usually cook at home

If you wanted to make right now especially clear, Hungarian would often add another word or use context:

• Most otthon főzünk. = We are cooking at home now.

Without that kind of clue, this sentence is most naturally understood as a general habit.

Yes. In natural English, both are possible:

• We mostly cook at home
• We cook mostly at home

The Hungarian sentence can match either of those. The exact best English version depends on style and context.

That said, because of the Hungarian word order, the sentence often feels like it is emphasizing otthon (at home) more than the act of cooking itself.

Yes. Depending on the sentence, otthon can mean:

• at home
• home

For example:

• Otthon vagyok. = I am at home.
• Otthon maradok. = I stay home / I stay at home.

In Főleg otthon főzünk, the natural meaning is definitely at home.

It is similar, but not exactly the same.

• főleg = mostly / mainly
• általában = usually / generally

So:

• Főleg otthon főzünk. = We mostly cook at home.
• Általában otthon főzünk. = We usually cook at home.

The first suggests home is the main place where the cooking happens.
The second suggests this is our usual habit.

They are close, but not identical.