What are you putting on your babies’ faces?

My babe has been teething for the past month so he is drooling nonstop. It’s also really cold and dry where I live right now. I’m starting to notice his cheeks and chin are super red and a little bumpy and the skin on his chin looks super inflamed and cracked 😞. I typically stay away from putting any product on his face but I feel like he’s in pain whenever we try to wipe his mouth. Any recommendations?