First notebook entry: Introducing myself

I'm learning English, because I want to feel free myself during my traveling travels, maybe in the future my job will continue with English have me use English.
My native language is Russian, I was born and grew up in Moscow
I enjoy the internet, pen-pals, sports, reading and learning English.

Very nice English, just a few minor changes:

First notebook entry: Introducing myself

I'm learning English, because I want to feel free myself during my traveling (or just say "while I'm traveling"), maybe in the future I my job will continue with English for my job.
My native language is Russian -- I was born and grew up in Moscow .
I enjoy (surfing) the internet, writing to pen-pals, sports, reading, and learning English..

First notebook entry: Introducing myself

I'm learning English, because I want feel free myself during my traveling, maybe in future my job will continue with English
My native language is Russian, I was born and grew in Moscow
I enjoy internet, pen-pal, sport, reading, learning English..

 I am learning English, because I want to feel free while I am traveling. Who knows maybe I will need it for future jobs. My native language is Russian. I was born and grew in Moscow.  I enjoy the internet, pen-pal, sports, reading and learning English langauage.