you need to get some hand lotion asap anything from aveeno to cerave or lubriderm i was in your shoes 7 years ago and a doctor told me that i was at risk of infection from the cracked and open skin look at skin moisturizer as a protective barrier for you too and place some in a location you can routinely get to after washing your hands  i know a lot of places are closed for the holidays but find some type of counseling service you can get this in check you have people rooting for you