This happened last year too and it took me ages to sort it out :(
Normally I have combination skin and can keep it in pretty good shape using 'budget' skincare like Olay and Nivea. Since it started being so cold, my chin has broken out in a mixture of spots and irritated dry patches.
I used Avene skin recovery cream last year which sort of worked. It was certainly irritated for a good few weeks.
Any suggestions? I'm happy to spend a bit of money if it's going to help.