The Titanic Hotel is also nothing to do with the Titanic. If The Titanic is your thing stay at 30 James Street which is the old HQ of the White Star Line! Also very central.
I work in Liverpool. What sort of thing are you looking for? The city centre is very smart and good for shopping.
There are plenty of decent hotels too. Loads of museums, art galleries etc. You can go for a ride on the ferry (although it's a bit choppy today!) and there are bus tours if that's...