Just came back from Tampa on Thursday, 4/18. Stayed at the Wyndham Westshore for $99/night. It was fine for the price and is very convenient to TPA. Just follow the airport exit and signs for Kennedy Boulevard (stay to the left). Once you come to the first set of traffic lights, the Wyndham is about a block or two away on the right in "The Urban Centre" complex. The drive is about 10 minutes from TPA. Getting back to TPA was very easy as well. I went from the hotel, to the rental car drop, to the Delta check-in (used their new kiosk), through security, and was at the gate in about 20 minutes from the time I checked out of the hotel!
I've also stayed at the Hampton Inn on Waters Ave. which is north of the airport and not near a strip club. It is newer and was fine for $89 night. This is not the Hampton Ted and Holly mentioned.
Avoid the Holiday Inn Express on Dale Mabry. A co-worker stayed there and heard gunshots and had someone try to break into his room.
The Hyatt is very nice as well, but it IS ACROSS the street ( 4 lanes with a Jersey barrier) from a strip club! They must not have zoning in Tampa! If you stay there, you should try "Oystercatchers" for dinner. Great seafood, good service and a spectacular view of the bay - right on the water.
Have a great trip!