You can do a lot with very little space.
I've used this bar for years.
The Elite Pull Up bar is aluminum construction 92 inches tall, adjustable down to 77 inches Has a built in stabilizer with removable bar Assembles in 2 minutes, without tools
www.strengthandstability.com
It can be fully broken down in about 30 seconds when you're done with it, and adjusts to do stuff like dips and inverted rows. Once you're good at pullups/chinups/dips you can use a weight belt and some plates to keep it going.
These bars are out of stock but they're pretty much what you need. I have used them for years also:
Amazon product
These work with standard olympic plates and collars. If possible avoid those dinky dumbbells that can't be really loaded or are non-standard sizes. You can put pretty much all the weight you'd need on these and you'll never outgrow it. You can do squats and deadlifts with this setup too if you are super pressed for space. And it all comes apart and can be stashed under a bed or in a corner. (TIP: avoid CAP barbell unless it's just regular olympic iron plates. Their equipment is cheap, but it's total shit.)
Anything else can be done as long as you have enough floor space to fully lay down on.
Good luck finding plates! Plates appear to be in very short supply due to covid in the US at least.