Jessie . . . where to begin!!
I think there's a Durango steakhouse in the Sirata, or certainly one of the Tradewinds hotels. We happened upon it last year while staying at the Holiay Inn - the round hotel next door. Durangos is great, especially if you can get in there for happy hour
Silas Dent's is another good restaurant, but make sure you go there STARVING, cos you get a loaf of bread on arrival, roasted peanuts and a salad . . all before your entree
Bennigans near Publix is always good and reasonable; Spinners Revolving Roofttop restaurant in the Holiday Inn is worth visiting, just for the aerial view over the gulf at sunset time.
There is a Ponderosa a little way out (need a car), but they only do lunches and dinners - and Sunday brunch (all you can eat buffet).
IHOP (International House of Pancakes) between the Sirata and Publix complex does good brekkies (in fact we had a TBone steak there for $6 each one night!). There's a couple of American family diner-type places that do really good food and cheap . . . there really is a huge amount at St Pete's within a reasonable walking distance either left or right from the Sirata.
Jonny Leverocks, again a little way out, is a must if you love fish (although I don't and had a great steak). Ask for a water view booth and you get great views of the Boca Ciego bay with all the birds.
Again, at the Holiday Inn, at Bahama Mama's on the beach, they do great burgers and chicken sandwiches/fries for a quick bite lunchtimes and evenings.
Need any more info, just shout . . . we love St Petes' been there three times now