Hello and welcome to the forum. Sorry for the delay in response. For this situation, you do need to see a doctor if you have not already. A few different things can cause itchy skin on hands and then peeling with cracks. This sounds painful as well. Have you had any other skin disorders? Have you used your hands with chemicals or done more than usual cleaning using soap or chemicals? Eczema comes to mind but would be surprised that is confined to your hands. I'm also wondering about an allergic reaction. Do you have anything like OCD and excessive hand washing? I'm just trying to get a full picture of what precipitated this issue. Here's a symptom checker https://symptomchecker.webmd.com/multiple-symptoms?symptoms=itching-or-burning%7Cskin-peeling,-cracking-or-scaling%7Cskin-rash%7Cskin-redness&symptomids=129%7C260%7C185%7C209&locations=68%7C68%7C68%7C68 (copy and paste to your browser).
We don't want to recommend anything if it is more than just dry skin. Let us know any more information and we will try to continue to help.