It is warm and beautiful right now in Memphis.
Walk on Beale and take in the sights, there's always something going on at night(but don't venture into dark alleys)..go to Mud Island and park and look at the Mississippi River, walk along the river. The Zoo is not cheap, but is one of the best in the country (tripadvisor agrees...and we have pandas). Graceland (which is extremely safe during the daytime) is expensive, but you can still see it from the outside, take a marker and write on the wall. Eat some wonderful barbecue at Corky's on Poplar (although some prefer Interstate BBQ or Neely's).
Don't know the costs, but there are tours of Gibson Guitar Factory downtown, there's the Rock and Soul museum downtown, Sun Studios.
Check out the website of the Memphis Tourist and Convention Bureau.
Every time there's a Memphis thread, people join in to bash us--crime is way down, and this is a lovely city to live and visit.