If you are carrying your bunny while standing and he wants to get down, lower yourself as fast as you can so you decrease the height of his jump. Squat, but do not clutch him to keep him on you. One of the biggest mistakes we make when our bunnies wiggle to get free is we clutch them tighter. Once they release, they often twist and they can break their own backs that way. It is heartbreaking, so let a wiggling bunny loose to land without twisting. Unfortunately, they do not have the ability to right themselves like cats do.
The doggie steps at the bed are an excellent idea. You can train your bunny to use it by either clicker training or putting a treat on each step, like one pellet or a raisin, to get him to go there every time. You can also say firmly “No Jump” or another command when he jumps, then ignore him. But if he seems to want to jump, and resists, you can give him a positive reward for NOT jumping. Positive reinforcement is a way to train bunnies, but they don’t really respond to negative scolding or punishment at all.