Amióta van iránytűnk, jobban tájékozódunk, és nem tévedünk el.

Amióta means since / ever since when it introduces a whole clause:

• Amióta van iránytűnk... = Since we've had a compass...

A useful contrast is:

• mióta? = since when? (question word)
• amióta = since / ever since (relative conjunction)

So:

• Mióta van iránytűtök? = Since when do you have a compass?
• Amióta van iránytűnk, ... = Ever since we have had a compass, ...

You can also think of amióta as a fixed connector used to introduce the time point from which something has been true.

Hungarian usually expresses have with van (is/exists) plus a possessed noun.

So:

• van iránytűnk literally means something like there is our compass
• in natural English, that becomes we have a compass

This is a standard Hungarian pattern:

• Van autóm. = I have a car.
• Van testvére. = He/she has a sibling.

Hungarian does not normally use a separate verb equivalent to English to have in this kind of sentence.

Iránytűnk breaks down like this:

• iránytű = compass
• -nk = our

So iránytűnk means our compass.

In this sentence, English translates it more naturally as we have a compass, not necessarily we have our compass in a strongly definite sense. The possessive suffix is part of the normal Hungarian way of saying who possesses something.

Because Hungarian often omits an article with a possessed noun in this kind of there is / have structure.

So:

• van iránytűnk = we have a compass

not:

• van egy iránytűnk unless you specifically want to emphasize a / one compass

Compare:

• Van kutyánk. = We have a dog.
• Van egy kutyánk. = We have one/a dog (a bit more explicitly indefinite, sometimes more introductory)

In your sentence, van iránytűnk sounds natural and general.

Because jobban is the adverb form, while jobb is usually the adjective form.

Here the sentence is describing how we orient ourselves, so Hungarian needs an adverb:

• jól = well
• jobban = better

So:

• jobban tájékozódunk = we orient ourselves better / we navigate better

Compare:

• Ez jobb. = This is better. → adjective
• Jobban dolgozom. = I work better. → adverb

The dictionary form is tájékozódik.

It means things like:

• to orient oneself
• to find one’s bearings
• to navigate
• to know where one is

In this sentence, tájékozódunk is the we form:

• tájékozód-unk = we navigate / we find our way

It is an intransitive verb, and it often has a slightly reflexive feel in meaning, even though English usually does not translate it with ourselves.

They look similar, but they are doing different jobs.

In iránytűnk:

• -nk is a possessive suffix
• it means our

In tájékozódunk and tévedünk:

• -unk / -ünk is a verb ending
• it means we

So:

• iránytűnk = our compass
• tájékozódunk = we navigate
• tévedünk = we go astray / we get lost / we make a mistake, depending on context

The vowel difference (-unk vs -ünk) comes from vowel harmony, which is very common in Hungarian.

The core verb is téved, which can mean to be mistaken or to go astray.

With the verbal prefix el-, it becomes eltéved, which means:

• to get lost

So the idea here is:

• nem tévedünk el = we do not get lost

The prefix el- often adds a directional or resultative meaning. In this case, it helps create the specific meaning get lost, not just be mistaken.

Because Hungarian verbal prefixes often move away from the verb when the verb is negated.

So:

• positive: eltévedünk = we get lost
• negative: nem tévedünk el = we do not get lost

This is a very important Hungarian pattern:

• Megértem. = I understand it.

• Nem értem meg. = I do not understand it.

• Bemegy. = He/she goes in.
• Nem megy be. = He/she does not go in.

So the split in nem tévedünk el is completely normal.

Hungarian often uses the present tense where English uses the present perfect after since.

So:

• Amióta van iránytűnk... literally looks like Since we have a compass...
• but in natural English it corresponds to Since we've had a compass...

This is not unusual. Hungarian and English handle tense differently in time clauses like this. A learner should not expect Hungarian to copy English perfect tenses.

Because Hungarian verb endings already show the subject clearly.

For example:

• tájékozódunk = we navigate
• tévedünk = we get lost / go astray

The -unk / -ünk ending already tells you it is we, so adding mi is usually unnecessary unless you want emphasis or contrast.

So:

• Tájékozódunk. = We navigate / We find our way.
• Mi tájékozódunk. = We are the ones who navigate (emphatic)

In your sentence, no pronoun is needed.