The Dali museum isn't exactly next door to Clearwater btw!!...but nice place to visit...also hit the aircraft carrier look a like that is the pier !! Very good food in the Argentinian restaurant on the pier if you're a committed carnivore!
Nearer to Clearwater try :
Dunedin - 10 minutes North. Great little town of 30K people, next to the sea...very old fashioned with great shops and a free tour of the Dunedin Brewery if you like!
Places to eat....Kellys Chic a Boom ....
http://www.kellyschicaboom.com/Kellys/Home.htm
Real old fashioned place...excellent food....killer breakfasts ( forget the likes of Ponderosa etc ...this is REAL food ! ).
Purple Moon....great coffee and cakes..all home made..plus you can have your fortune told if you want! Run by some characters, even by US standards!!....very alternative but friendly and relaxing. Great courtyard outside and some unique souvenirs inside!
Go a few miles up to Ozona...about 15 minutes from Clearwater....nice secluded beaches...and try eating at Molly Goodheads ( honest! ). Fabulous sea food, and pretty mean steaks, fajitas etc etc.
http://www.mollygoodheads.com/menu.cfm
We've eaten at all these places..so no hesitation recommending them!
Personally we thought Tarpon Springs was Blackpool USA......pretty tacky ( IMHO! ) and not somewhere we'd re-visit.
Honeymoon Island is a nice place if you want to walk in a quiet beach area....and collect some HUGE shells...or go from Honeymoon Island to Caladesi Island...the feryy takes you and collects you 5-6 hours later. Very quiet, couple of small snackbars...and restful...if you want restful of course!
Hope that's of some use...... we love the area north of Clearwater, totally different pace of life to the area south of it! Both have their plus points...we just prefer north........
Mike