Με αισιοδοξία και ευγνωμοσύνη ξεκινάει κάθε μέρα η φίλη μου.

Greek word order is much more flexible than English word order.

Starting with Με αισιοδοξία και ευγνωμοσύνη puts emphasis on the way the action happens:
With optimism and gratitude, my friend starts each day.

If you changed the order to Η φίλη μου ξεκινάει κάθε μέρα με αισιοδοξία και ευγνωμοσύνη, it would still be correct, but it would sound more neutral and less focused on those feelings.

Here με means with.

It introduces the manner or attitude with which something is done:

• με χαρά = with joy
• με αγάπη = with love
• με αισιοδοξία = with optimism

So Με αισιοδοξία και ευγνωμοσύνη means with optimism and gratitude.

Because με normally takes the accusative case in Modern Greek.

So:

• η αισιοδοξία → την αισιοδοξία
• η ευγνωμοσύνη → την ευγνωμοσύνη

After με, the articles are omitted here, but the nouns are still understood as being in the accusative.

A useful thing to notice:

• αισιοδοξία looks the same in nominative and accusative singular
• ευγνωμοσύνη also looks the same in nominative and accusative singular

So the form does not visibly change, even though the case function is accusative.

Ξεκινάει is the 3rd person singular present tense of ξεκινάω / ξεκινώ, meaning things like:

• to start
• to begin
• to set out

In this sentence, it means something like:

• my friend starts each day
• my friend begins every day

In natural English, you might even translate it as my friend starts her day..., even though Greek does not explicitly say her day here.

Yes. In everyday Modern Greek, ξεκινάει and ξεκινά are both used.

They are just alternative present-tense forms of the same verb:

• ξεκινά
• ξεκινάει

Both mean he/she/it starts.

The -άει form is very common in speech and writing.

Because Greek often places the subject later, especially when the speaker wants to highlight something else first.

Here the sentence focuses first on the emotional tone:

Με αισιοδοξία και ευγνωμοσύνη ...

and only then tells you who does this:

... η φίλη μου

This is very natural in Greek. It does not sound as marked or unusual as it would in English.

Κάθε μέρα means every day.

• κάθε = every / each
• μέρα = day

Κάθε does not need an article here. This is a standard expression in Greek:

• κάθε μέρα = every day
• κάθε εβδομάδα = every week
• κάθε χρόνο = every year

So this works very much like English every day.

Yes.

• η φίλη = the female friend
• μου = my

So η φίλη μου means my friend, specifically a female friend.

If the friend were male, you would say:

• ο φίλος μου = my male friend

Greek nouns usually show grammatical gender clearly, and in this case it also matches real-world gender.

In Greek, weak possessive forms like μου, σου, του, της usually come after the noun:

• η φίλη μου = my friend
• το σπίτι μου = my house
• η μητέρα της = her mother

So this is the normal Greek structure.

English says my friend, but Greek usually says literally the friend my.

Because Greek often leaves out subject pronouns when they are not needed.

The verb form ξεκινάει already tells you it is 3rd person singular:
he/she/it starts

Then the noun η φίλη μου makes it fully clear who the subject is.

Greek does this all the time. It is a pro-drop language, unlike English.

Yes, absolutely.

That is a very natural English rendering.

Depending on context, possible translations include:

• My friend starts every day with optimism and gratitude.
• My friend begins each day with optimism and gratitude.
• With optimism and gratitude, my friend starts each day.
• My friend starts off every day with optimism and gratitude.

They all match the Greek well.

Yes.

Κάθε μέρα functions adverbially here. It tells you when / how often the action happens:

• ξεκινάει κάθε μέρα = starts every day

So the sentence contains:

• manner/attitude: με αισιοδοξία και ευγνωμοσύνη
• time/frequency: κάθε μέρα
• subject: η φίλη μου

Yes. It sounds warm, positive, and slightly expressive.

The opening phrase Με αισιοδοξία και ευγνωμοσύνη gives the sentence a reflective or uplifting tone. It feels more expressive than a flat statement like:

• Η φίλη μου ξεκινάει κάθε μέρα.

Adding αισιοδοξία and ευγνωμοσύνη makes it sound thoughtful and emotionally rich.

A more neutral version would be:

Η φίλη μου ξεκινάει κάθε μέρα με αισιοδοξία και ευγνωμοσύνη.

This is also correct and natural.

Compared with the original:

• Με αισιοδοξία και ευγνωμοσύνη ξεκινάει κάθε μέρα η φίλη μου.

the original gives stronger emphasis to optimism and gratitude.

So the difference is mostly about focus and style, not basic meaning.