We have a setup. I would keep it simple and not invest in any expensive equipment. I follow Jerry Texeira on X (Twitter), and he has a YouTube channel. He has a LOT of body weight exercise content, and at your age (or for any age), this should be sufficient.
Simple things like pushups, pullups (buy a pullup bar and dip station (pretty cheap -under $100)), and do some push ups, tricep pushup (hands close together), air squats, and lunges, and you are in business. If you want, perhaps buy a couple/few different weight kettle bells.
Maybe put down a soft foam floor in your workout area. We bought interlocking tiles from Amazon that look like diamond plate metal, and they have held up well.
If you want some cardio, either go walking, or get your favorite- a tread mill, a concept 2 rowing machine, or an AirDyne type of bike.
You are going to get a range of advice, but start simple. You may also want to check out the content on BeachBody.com. My better half does all her exercises from the various classes (yoga, barre, strength, cardio) offered on Beach Body, and she is in great shape.