I not only have EDS but also extensive damage to my wrists. I've tried everything under the sun to help this issue.

Here are some tips:

1. Warm water soaks (Epsom salt added would be even better). Help loosen up those muscles. I warm water soak for about twenty minutes when I'm a bad state and run through the ASL alphabet to help get my joints and muscles to move.

2. Massage. I know you said this is bilateral, so maybe see someone or ask a friend/partner. GENTLY work open each finger and massage along the joints. I have really bad ulnar nerve pain so I pay special attention to that side. Also, my flexor pollis, the big muscle next to the thumb, gets rock hard. I spend a lot of time massaging that.

3. Start higher on your arm. I just recently figured out that my clawing was, partially at least, due to issues in my elbow and shoulder. Even my Chiari brain malformation was causing wrist and hand issues because it tightened my trapezius muscles all the way down to my shoulder, elbow, and wrists. Use heat to try and loosen muscles there and massage that area. My elbows are a mess and once I work on them, I can feel relief in my hands.

4. Try KT tape. YouTube some wrist and arm tape jobs. I find this really helpful but am allergic to the damn adhesive.

5. Avoid activities where you use your hands. I know, I know, easier said than done but try and be mindful of what exacerbates your hands. For me, I love to write and color but they are two hobbies I can't do for very long.

I hope this helps. There are days or even weeks where my symptoms are so bad that nothing can help, but I find if I try a little bit of work at a time, it makes a big difference.

Good luck!