An exerciser includes a small trampoline, or rebounder (12), and a hand support (16) with handles (24, 26) that a person can grasp while jumping and rebounding to stabilize himself or herself, which is suitable for use in a commercial or public workout facility where there are likely to be many rebounders dedicated to such rebound exercising. The hand support lies immediately forward of the front end (46) of a rebounder that rests on a floor. The hand support includes a frame (40) that rests on the floor immediately forward of the rebounder front end and that has a top bar (44) that lies at least one meter above the rebounder mat (18). The top bar pivotally supports a handle device (22) that includes the handles (24, 26) at its lower end that can be grasped by a person who is jumping on the rebounder. The frame can be constructed with a plurality of top bars, all of the same length and forming the sides of a polygon, and a rebounder lies with its front end immediately rearward of each of a plurality of the top bars.