Budapest and Prague

[mangojuice]

I will be in Budapest and Prague at the end of June and wanted suggestions about things I must see and do. I have been reading my travel books, but would love some input from others. I will be in Budapest for a little less than a week, and Prague for a week.

Also, this might be a silly question, but what type of transportation should I take back to my hostel at night out relatively late? I am a 20yr old solo female traveler (also going to the Venice region, and Cinque Terra, though I havent heard anything about them being terribly unsafe).

Thanks,
Meg