I would like to visit you in London for a short trip one day. This is one of my dreams. If you'd like, I'd greatly appreciate it if you would tell me what dates and times would be convenient for you to host me. I will pay for all of my food and personal expenses whilst there as well.

[if you want to see corrections highlighted, then post a Notebook entry. I can't highlight changes with a Question]. Some day, I'd like to come and visit you in London for a short trip. It's one of my dreams. I'd appreciate it if you could let me know what kind of dates would work for you, and what day/time I should show up. Please be assured that I'd pay my own way while I'm there.

I have just written a letter to one my friends in the London. I asked her to welcomed me if I would get there( Please prepare also this sentence if it is not correct).