Other equipment

Gloves and palm protectors will be appreciated by those who get blisters from the pull-up bar, while a lifting belt makes sense for heavy weights, not for home workouts with dumbbells. Suspension straps open up a lot of bodyweight exercises and take up zero space. A step is simple equipment on which you can complete an entire fitness session. As a general rule: get what you are missing for a specific exercise, not in advance just in case.