Was checking online today, short term rental apartments start about 50€ a day. 
They have a good train-system here and decent buses. I think they also have ferrys to cross the Elbe. 
What part of town is your hotel in? The area around the main staition aint a good area at all.
If I can help more my email is (Pooh109g6)spamisevil!@yahoo.de
use only the part in parentheses.