Here's a selection from Argos, of 32 inch LCD's, some without freeview integrated and hope you find one.......you could also try larger stores of Asda's, Tesco Superstores and Sainsburys too.
No want to be able to record say freeview (have set top) and watch cable at same time. On most integrated models you can't record from freeview and watch seperate cable channel.
In that case, SEB, it's best to ring round Curry's, Comet, etc and the shop that Dr Filth posted.....Richer Sounds, who are very good indeed, if you have a branch near you ( we have one here in Brighton and they are always very helpful ) and ask them specifically of you're requirements and they will put you in the right direction as what is available for you to choose.
"On most integrated models you can't record from freeview and watch seperate cable channel. "
There's nothing to stop you using a set top box with a telly that has built in freeview.