Hard to say without a price range but being as you’re staying at the lowry I’ll assume you don’t mind paying a bit extra.
Stocks is nice Italian food
Rio Ferdinand’s new one at the top of King Street is supposed to be good (Rosso I think it’s called)
Lots of people say that San Carlo’s is good though I think it’s overpriced rubbish.
I’m sure someone will come along with better (non-Italian) reccomendations soon.
Generally if you want to go to to some bars it’s best to head to the Northern Quarter though it does get very busy now. Lammar’s, Socio-Rehab, Cord, Common and Centro are all decent but there’s plenty more nearby. Corridor bar down the road nearer Salford is supposed to be nice too but I’ve not been.