This is by far our favorite activity. Our two favorite theaters are AMC Veterans 24 in Tampa and AMC Woodlands in Oldsmar.
The famous Clearwater Beach has many activities, restaurants, and of course the beach itself. You'll want to get there early though. It is crowded. It's about an hour and 15 minutes from Spring Hill or Dade City.
There are many great places to kayak in the area, including Weeki Wachee State Park. The water is crystal blue and clear. Weeki Wachee State Park is in Spring Hill.
Orlando is 1.5 - 2 hours from Spring Hill and about 1.25 hours from Dade City. There are many theme parks there, including multiple Disney parks; Universal Studios & Sea World. Tampa is about an hour from Spring Hill and about 45 min from Dade City. Busch Gardens and Adventure Island is there.
There are some great options where you can zip line, some of which have deals on Groupon. They range from 15 min to an hour away from Spring Hill.