My decision to emigrate affected many piecearts of my life.

I’d made all of my friends by just being engaged together in the same school, sports classes, or university.

I’d never looked for socializing meetupopportunities, as I generally basparticipate oin the activity which a meetup would be dedicated toies to socialize.

However, after relocation, I took up hiking, and I found myself talking to people more.

After I’d moved into Hungary, I deliberately started attending more social meetups and ultimately found new friends.

How the emigration has affected my livfe

My decision to emigrate has affected many aspiecets of my life.

Assuming you are still an immigrant and living abroad, the present perfect is more appropriate.

One of them was the skill of socializingmy social skills.

"Social skillls" is the commonly used term.

I learned how to socialize, as I’d mostly been aloof all of my livfe.

I’d made all of my friends by just being engaged together insharing the same school, sports classes, or university classes.

I’d never looked for socializing meetups, as I generally base on the activity which a meetup would be dedicated to (?).

I don't quite understand the second part of this sentence.

However, after relocationmoving I took up hiking, and I found myself talking to people more.

Needless to say, the need forto socializinge is in our human nature.

And I’dI have quietly begun making new short-term connections.

Again, assuming you are continuing to make these connections, the present perfect is appropriate.

After I’d moved into Hungary, I deliberately started attending more social meetups and ultimately found new friends.

Inversely, because moving is a one-time action (you can't continuously move to a country), the past tense is appropriate.

My decision to emigrate affected many piecearts of my life.

I’d made all of my friends by just being engaged together in the same school, sports classes, or university.

if you want to use "engaged" you can say "being engaged in the same activities together in the same school"

I’d never looked for socializing meetups, as I generally base on the activity which a meetup wmy interactions aroulnd be dedicated toactivities I like.

I'm not sure I understand your sentence.

However, after relocation I took up hiking, and I found myself talking to people more.

'relocation' sounds a bit formal; a more common option would be 'moving'