I live local to Liverpool but was looking for hotel in Jan after the theatre and all the hotels have sky rocketed in price. We stay over semi regularly in normal times but I think you'll be hard pushed to find a city centre nice hotel for £150! Good luck though (and if you find one let me know where so I can book it to)
As others have said, sooo much good food around.
I love: Duke Street Market, Mowgli, Baccaro, Wreckfish (pricy), the Florist, the pencil factory
Alma de Cuba was the place to go for drinks a few years ago but not sure now, not heard either way. I love kasmier (sp?) gardens for drinks.
There's a bar called Liverpool Arts Bar up by the Phil that does local booze, and has local artists of all descriptions performing, it's so fun but during term time has a large student pull (don't know if that puts you off or not lol)
The museums are fab, a wander round the dock is lovely, especially in the evening when it's lit up (but wrap up!!!), there's some fun bars with bowling or other games in, junk yard golf etc is fun too.
Have a fab time, Liverpool is the best