Florida Gulf Coast Rv camping

Some of the more interesting things to see:
Tarpon Springs with its Greek community of restaurants, bakeries and sponge divers.
http://spongedocks.net/ about 20 minutes from Ft Desoto.

Ringling Museum of the Circus and Art a few minutes down the road from Tampa
http://www.sarasota-florida-us.com/ringling-museum-sarasota.html

When you're finished at the museum you can get good eats in the same town at the Pinecraft Amish community in Sarasota. Good food, nice little shops.
http://www.pinecraft.com/about-pinecraft-amish-community/

Along Highway 19 south from Spring Hills there are all kinds of RV parks with openings now with the Snowbirds starting the migration north!

Lazy Days RV park outside of Tampa
may work, you can eat there and use the Rec stuff. Pool etc.

You may have some problems finding a spot with March break now in full swing.

2X on Ft Desoto.

When we go to that area to see family members, we stay at Ft. Desoto, which is a Pinellas County Park. It has a large number of sites with water and electric, and has two dump stations. Note one section is for campers with dogs.

Very popular - but they save some sites for walk-ins. Just avoid arriving on a weekend because there will be a long line. Many of the sites are on the water, either facing the gulf or on water facing inland.

It is not exactly boondocks, but has a lot of vegetation and is near the base of the Sunshine Skyway Bridge... built on a collection of islands. Was once a military base and hospital, turned over to the state later. It's a short drive to grocery stores and restaurants.

Gorgeous swimming beaches, a dog park, fort to explore, small museum. Rates are about $40 a night IIRC. I love the place.

There are some other RV parks in the area but many of them closer to Tampa are more like winter snowbird parks with many park model units, and small, close together sites for visiting RVs. We've stayed at Yankee Traveler in Largo, for example, which has one section for units with dogs. It served us well, but is right in a busy shopping neighborhood. Others may respond with good alternatives they've used closer to Tampa.