If you can get a room, try Hari and Rita at the Cremona Hotel in Westcliff, Bournemouth. The place is a superb B&B within 10 mins walk of the town centre and 5 minutes walk of the sea front. Do a google search under "cremona hotel" and you should get the link.
Its rated 5/5 on trip advisor.com. Read the reviews and you'll see what I mean!