Great Schools? You are aware of Florida's rankings for schools aren't you? The best schools are private and will not be cheap.
As for safe neighborhoods, Tampa was the most Economically depressed area in the country for 2013 (Yes we even beat out Detroit) so, your mileage may vary when looking for a safe area as high crime areas are often just blocks away from neighborhoods considered safe and they're scattered all over the city. Generally though, if you're willing to pay more, the area will be safer.
Personally, I would consider Clearwater or Oldsmar if you wanted safe and commutable to the tri-city area for jobs.