How can I work out without equipment?
Use your own body. You do not need a home gym to make a workout possible. If you have enough space to put a towel on the floor, you have room for a full-body workout. That is the starting point: your body and the space you already have, not a shopping list. No equipment does not have to mean no exercise.
What can I do with the space I have?
A towel-sized patch of floor is enough room for a bodyweight workout. Walking up and down stairs is another option if you have access to them. You do not need a dedicated workout room. When getting to the gym is not possible, look at what is available at home rather than treating the missed gym visit as the end of your opportunity to move.
How do I choose something I will actually do?
Choose movement you enjoy. Equipment can add variety, but it does not make or break a workout, and buying it will not make you move. Think of it as a tool, not a requirement. The practical takeaway is simple: use your body, choose movement you want to do, and do not let a lack of gear or gym access stop you.