If you have ALL CASH you can go to the Hillsborough County Courthouse and "bid" on foreclosures. You will not get a clear title and may have other liens still attaching after closing. Also you may have to remove the owners from the house and pay an attorney to do this legally.
Otherwise you will have to pay closer to "retail" prices and line up with the multitude of other bargain hunters. Banks don't sell directly to individual buyers (unless you're buying a multimillion dollar portfolio of homes) so you will have to wait until the property is listed on the Realtor MLS system before you can bid.
Your Realtor can give you automatic updates of properties that fit your criteria. If you're not yet working with a Realtor, you're welcome to sign up for a free ListingBook account and you will get notified of new properties that fit what you're looking for. http://www.SoldOnTampa.com
All the best,
Alma Rose Kee PA
Future Home Realty
Best of luck,