Working out can make EDS worse. Some types of exercise are better than others. If you can, go to a PT and get some hyper mobility exercises there. If not swimming is a good way to go if you are lucky and don’t have weird POTS. (I can’t safely swim anymore bc the POTS says no lol) If all else fails walking or modified Richard Simmons usually does the trick.

Yes it might be the type of exercises you're doing. I'm currently only doing small isometric workouts and I even get injured after those sometimes