Going with a handlebar mini trampoline brings some added benefits. Your child will be able to use the handle to keep their balance. The extra balance will reduce the chance that they fall off the mini trampoline and hit the ground.
At $139, the Urban Rebounder is a great mid-range mini trampoline/rebounder. It has many of the same features as higher-end models like JumpSport's Fitness Trampoline 250, but it also offers easier storage and the ability to change angles. Bargain mini trampoline models tend to slip and slide on hardwood floors, but for just a little more money, the Urban Rebounder provides more firmness and stability straight out of the box. The additional DVD workouts and stabilizing bar make it a bargain compared to basic mini trampolines without such features.