Compost King
Free Ranging
I can't see by the picture how much space you have to work with inside the coop but if there is space and its something you like to do you can build a bedding retaining wall (brick wood what ever you have) around the door so there there are no wood chips around the door. some will still get over the wall and from time to time you will have to clean it up a bit but the door won't get jammed with the bedding. Others have offered solutions that are probably better than that but I have put in a few bricks in a few places to retain bedding because I can do it in a few seconds rather than break out the tools and do real work. Yes I am that lazy sometimes.