I wish to travel

I Wish to Travel (capitalize nouns, verbs, and adverbs in a title)

There are some places I want to visit, but that was a while ago when I used to travel.  After my first son was born, all I could think of was where we would live.  Then my second son was born, and now I have a third one.  Thank God we almost finished building a house in a beautiful place we chose three years ago.  Now I'm close to being able to travel again, and I want my old dreams to come true.  I remember I dreamed of visiting Finland and the Norwegian fjords.  After my visit to Turkey, I decided I don't like the south.  It's too warm there, and I could barely walk at midday.  So, after that experience, I wish to travel north.  Well, maybe it will become a reality soon.  Who knows?

Your English is good.  It's certainly better than my Russian!  There are different ways of expressing the same ideas in English, so what I put here is not the only way, but one way among many possibilities.

I wish would like to travel (Wish is correct as well but using "would like" sounds more natural)

I am confused as to what you would like to say with this first sentence. Perhaps the way I have rewritten it bellow is correct:

There are some places I want to visit, but it has been a long time since I traveled.

After my first son was born all I could think of was where we would live. Then the second son decided to be born, and now I have the a third one. Thankfully we have almost finished to build building a house in a beautiful place we chose about three years ago. Now I'm close to be more mobile again and want my deferred plans to come true. I remember I dreamed to visit Finland and Norwegian fjords. After my visit of to Turkey I don't like south. It's too warm there. I berelly could could barely walk at midday. So after that experience, I wish would like to travel north. Well, maybe it becomes will become a reality soon. Who knows...