T.O. Fuller is a lovely old WPA park with shade trees and woods all around. It was the minority state park back when Memphis had "separate but equal" facilities. You have to drive through the hood to get there but don't let that discourage you... it is a wonderful, very secure park. At night you can listen to the tugboats running up the Mississippi. The manager is a full timer at the RV park. The downside is they have a 14 day max stay, or at least they used to. I don't know if they enforce it. And your restaurant choices are on Elvis Presley Boulevard.
Agricenter is great in that it is on the grounds of a huge working research farm, and there are trails that run for many miles. It is in the heart of Germantown/Collierville so lots of places to eat. The best thing is there's an onsite farmer's market. The downside is it has zero shade, zero facilities for kids, and tends to get taken over by road crews/cable laying crews/ farm workers. Nothing wrong with that but they can look a little rough.
Jellystone was built in 2010, and is really nice. The shade trees are growing in. They have wifi available and cable TV. Nice pool that my kids enjoyed a lot. Close to Horn Lake and tons of restaurants. About a 15 minute drive to the Airways training center.