Black Creek Canoe Rental. This will be more laid back and you can do longer trips downriver through the Desoto National Forest. LINK
Okatoma Outdoor post. Will be slightly more crowded, with a couple of party spots (esp. at the rapids) where locals hang out. LINK
I've done both numerous times, and do at least one float trip each summer with the kids.
Bogue Chitto is one that you can intertube, and rent a second tube for your cooler.
Floated the Wolf a few summers ago with my boy - very slow float. Float one with some current and your back will thank you the next day.