Future plans

I don’t want to be a historian. I don’t want to be a teacher of history. [1]   My profession will involve a lot of communication. [2] I either want to be a journalist, or I want to have  little business. [3] It is creative work!
I like travelling, and my really [4] crazy dream is live in the USA.  Only one or two years. I want to speak English well.
I want to have a small flat [5] where I will do a creative design. And I want to drive a car. A beige car.

[1] More common alternative: I don't want to be a history teacher.]

[2] Your sentence, "My profession will be very communication" is hard to understand.  I interpreted it to mean that whatever you do will require a lot of communication with others.

[3]  Good alternative:  . . .or I want to own a small business.   We usually talk about large and small businesses, but if you say "big" and "little", it's okay.

[4] "really" is okay, since your posting is informal.

[5]  Since you're talking about living in the US, you may as well call your квартира an apartment.  But if you decide to move to the UK, then you would call it a flat.

Joke:  I quit my job as a historian once I found out there's no future in it.

Future plans

I don’t want to be a historian. I neither don’t I want to be a history teacher of history. My profession will be very communication. I either want to be a journalist or I want to have a little business. It was creation work! (Я не понял эта фраза.  Что вы стараетесь сказать?) 
I like travelling traveling and my really (Не используйте "really" в этой фразе) crazy dream is to live in The USA for only one or two years. I want to have a good English.
I want to have a small flat, where I will do a creative designs. And, I want to drive myself car. A beige car. a beige car.