1) Want to lose fat? You can run outside. You can also swim outside if you're lucky. It's free. Or you can walk briskly. Even better for losing fat. Want to improve your technique? There's plenty of instruction on YouTube and online.
2) Want to get strong? You can follow along workouts from Iron Wolf on YouTube and do some hardcore basic calisthenics. It's free. Don't worry, you're not stronger than him. https://www.youtube.com/channel/UCBUo6dgGR82QOfidtpNRQww
3) Want to improve your flexibility? You can follow along workouts from Human 2.0 on YouTube to hit flexibility, mobility and body maintenance. It's free. https://www.youtube.com/c/Humantwopointzeroinc
Also, you can do all of the above with friends! They don't need any equipment either.