Really excellent writing. Here are my suggestions for improvements:

I try to stay in touch with modern psychological, psychotherapic [psychotherapeutic ...studies or just psycotherapy ...studies is probably more natural here] and neurobiological studies. It helps me in my profession and I draw on this knowledge in my psychotherapic/-rapy work with people. Unfortunately, most of (most of it/most og this information? -You are correct here: it) is in English. This is one of the motivational factors for learning English for me.

/or 'This is one of my motivational factors for learning English.'

In addtion to that [usually written without 'to that'] (furthermore? -'Furthermore' is very formal and a bit unnatural, but perfectly correct here), I try to acquaint some of my colleagues who don't [множ. colleagues] know English with information I get from these* books and articles.

*However, you have not introduced books or articles in the text, so 'these' here is not really grammatically correct. Compare these variants:

1.I try to stay in touch with modern psychological, psycotherapy and neurobiological studies.

I ...acquaint ...colleagues ...with information I get from_books and articles (in general).

2.I try to stay in touch with modern psychological, psycotherapy and neurobiological studies through/by reading new literature/scientific texts.

... with information I get from these^^^ books and articles (т.е. from the literature/texts mentioned above).

Me and my wife like cooking meals at home_because we can cook(/cook them) in accordance to/with our taste preferences. So we have tasty and healthy meals. But when we were younger we used to eat out. But now we go to restaurants rarely.
By the way, I`ve crossed fastfood off my life/I've cut fast food out of my life. But honestly speaking I let myself (/I still) eat it/at fast food places/restaurants once every few months.

['Once a day/week/month/year' един., но 'Once every two/three/few months' и тд]

As far/long as I can remember I have always loved nature. I lived in a small town and me and my friends used to climb trees, lie [т.е. 'used to climb, used to lie...'] on the grass etc.
I like to watch at ['look at' but never 'watch at'] tree crawns* Интересно! Возможно, Вы тут имели ввиду crown, со значением 'top, upper part'. Так ли? Если правильно, в этом случае, такое пользование было бы необычным, но вполне понятным, почти поэтическим! А на самом деле, я предлагал бы 'treetops' если не ошибаюсь о значении.

especially when a slight breeze rustles their leaves.

I feel the same way about these things.

Formulating sentenses with new words #1

I try to stay in touch with modern psychological psychotherapic and neurobiological studies. It helps me in my profession I draw on this knowledge in my psychotherapic work with people. Ufortunately most of them (most of it/most of this information?) are in English. This is one of motivational factros for learning English for me.
In addtion to that (furthermore?) I try to acqyaint some of my collegues who doesn`t know English with information I get from this books and articles.

Me and my wife like cooking meals at home because we can cook it in accordance to our taste preferences. So we have tasty and healthy meals. But when we were younger we used to eat out. But now we go to restaraunts rarely.
By the way I`ve crossed fastfood off my life. But honestly speaking I can eat there once a few months.

As far as I can remember I always love nature. I lived in a small town and me and my friends used to climb trees lying on the grass etc.
I like to watch at tree crawns especialy when a slight breeze rustles their leaves.