Μου αρέσει να μιλάω ελληνικά με τη φίλη μου, όμως αύριο θέλω να μιλήσω και με τη δασκάλα χωρίς άγχος.

Because αρέσει works more like it pleases than like English I like.

So:

• Μου = to me
• αρέσει = pleases / is pleasing

In this sentence, the thing that is pleasing is the whole action να μιλάω ελληνικά με τη φίλη μου.

So the structure is basically:

• Μου αρέσει ... = I like ...
• literally: ... is pleasing to me

This is very common in Greek. For example:

• Μου αρέσει ο καφές. = I like coffee.
• Μου αρέσουν τα βιβλία. = I like books.

Notice that αρέσει is singular, but αρέσουν is plural. In your sentence, the subject is the whole activity, so Greek uses singular αρέσει.

The two μου forms are the same word, but they do different jobs.

1. In Μου αρέσει, μου means to me.
   It is an unstressed object pronoun.

2. In τη φίλη μου, μου means my.
   It is a possessive clitic.

So:

• Μου αρέσει = it pleases me
• η φίλη μου = my friend

Greek often uses these short pronouns after the noun for possession:

• ο φίλος μου = my friend
• η δασκάλα μου = my teacher
• το σπίτι μου = my house

So even though both are μου, the function depends on the context.

Because Modern Greek usually does not use an infinitive the way English does.

In English, you say:

• I like to speak
• I want to speak

In Greek, you normally use να + verb instead:

• μου αρέσει να μιλάω
• θέλω να μιλήσω

So να introduces a subordinate verb form, often called the subjunctive in Greek grammar.

This is one of the most important patterns in Modern Greek:

• θέλω να πάω = I want to go
• μπορώ να έρθω = I can come
• πρέπει να φύγουμε = we must leave

So in your sentence, να is completely necessary.

This is a very important Greek aspect difference.

• μιλάω = imperfective
• μιλήσω = perfective / aorist-subjunctive form

In simple terms:

• μιλάω focuses on an ongoing, repeated, or general activity
• μιλήσω focuses on a single complete event

So in your sentence:

• Μου αρέσει να μιλάω ελληνικά...
  = I like speaking Greek...
  This is a general habit or activity, so μιλάω makes sense.

• αύριο θέλω να μιλήσω...
  = tomorrow I want to speak...
  This refers to one specific conversation in the future, so μιλήσω is natural.

A useful shortcut:

• general / habitual / ongoing action → often imperfective
• one complete action / one event → often perfective

Because Greek usually does not need subject pronouns.

The verb endings already show who the subject is:

• μιλάω = I speak / I am speaking
• θέλω = I want

So εγώ is usually omitted unless you want emphasis or contrast.

For example:

• Θέλω να μιλήσω. = I want to speak.
• Εγώ θέλω να μιλήσω, όχι αυτός. = I want to speak, not him.

In your sentence, there is no special need to emphasize I, so Greek leaves it out.

In Greek, names of languages are normally not capitalized.

So:

• αγγλικά = English
• γαλλικά = French
• ελληνικά = Greek

That is different from English, where language names are capitalized.

Also, ελληνικά here means Greek / in Greek, and it appears without an article because it is simply naming the language being spoken:

• μιλάω ελληνικά = I speak Greek

This is the normal pattern. Compare:

• Μιλάω αγγλικά. = I speak English.
• Μαθαίνω ελληνικά. = I am learning Greek.

Because με means with, and after με Greek uses the accusative case.

So:

• με τη φίλη μου = with my friend
• με τη δασκάλα = with the teacher

For these feminine nouns, the noun form itself looks the same as the nominative:

• η φίλη / τη φίλη
• η δασκάλα / τη δασκάλα

What changes clearly is the article:

• nominative: η
• accusative: τη(ν)

Also note the possessive word order:

• η φίλη μου = my friend
• not normally μου η φίλη in neutral standard usage

Because in Modern Greek, the final -ν of την is often dropped before certain consonants.

So both of these can exist, depending on pronunciation, style, and spelling habits:

• τη φίλη
• την φίλη

and

• τη δασκάλα
• την δασκάλα

In everyday Greek, dropping the final -ν is very common before consonants like the ones in φίλη and δασκάλα.

So τη φίλη and τη δασκάλα are completely normal.

You should think of τη here as the short everyday form of την.

όμως means however / but.

In this sentence, it connects two ideas:

• I like speaking Greek with my friend,
• however / but tomorrow I want to speak with the teacher too.

You could also use αλλά in many contexts, and the overall meaning would still be close.

Very roughly:

• αλλά = a straightforward but
• όμως = often a bit closer to however / though

So:

• ..., όμως αύριο θέλω... sounds very natural.
• ..., αλλά αύριο θέλω... would also be possible.

Here και means also / too.

Its position shows what is being added. In this sentence, it means:

• I like speaking with my friend,
• and tomorrow I want to speak with the teacher too.

So και is attached to the phrase με τη δασκάλα:

• να μιλήσω και με τη δασκάλα

That placement is important. It tells you the extra element is with the teacher, not something else.

Greek often uses και this way:

• Θέλω και καφέ. = I also want coffee.
• Μιλάω και αγγλικά. = I also speak English.
• Θα έρθει και η Μαρία. = Maria will come too.

Because Greek often leaves out the article with abstract nouns in fixed expressions like this.

• χωρίς άγχος = without stress / without anxiety
• literally: without anxiety

This sounds natural and general. It refers to a state or feeling, not to one specific, known anxiety.

If you added an article, χωρίς το άγχος, it would sound more specific, like without the stress or without that anxiety.

So:

• χωρίς άγχος = in a calm, unstressed way
• χωρίς το άγχος = without the specific stress/anxiety already mentioned

Yes, it is natural and standard here.

The sentence has two main parts:

• Μου αρέσει να μιλάω ελληνικά με τη φίλη μου
• όμως αύριο θέλω να μιλήσω και με τη δασκάλα χωρίς άγχος

Since όμως introduces a contrasting second idea, a comma before it is normal Greek punctuation.

So the comma helps show the shift:

• first idea: what you generally like
• second idea: what you want to do tomorrow

It is pronounced roughly AHNG-hos, but the h-like sound is not a normal English h.

More exactly:

• γχ in άγχος sounds like ng + a rough kh sound
• so the word is approximately /ˈaŋxos/

A practical learner version is:

• AHNG-khos

with the stress on the first syllable: άγ-

This is a useful word to practice because the cluster γχ is very common in Greek words.