About two months ago I began getting itchy hands and
Urticaria; could also be related to IUD
Welcome to ask a doctor service...
I have gone through your query and reviewed the attached photographs...
It does look like urticaria.
It is an allergic reaction which has multiple causes ranging from infections, food and drug allergies, thyroid disorder, IUD and sometimes occurs without any cause.
I would recommend you to take antihistaminic like tablet Cetirizine 10 mg twice daily for 2-3 weeks.
If it doesn’t improve in a few days consult an allergy specialist or you can also consider removal of IUD.
I hope to have answered your query and would be happy to answer any further queries.