A., I read couple of posts and I agree that you don't and shouldn't confine her to one little area. Crawling is best for babies, not just for body movements and etc., but it's good for strengthening neck muscles.
IF you're worried about her hurting herself, no matter what you do, she will hurt herself and that is part of a learning process for her and she will eventually learn if she does this or not this will hurt, but if she's anything like my third child, she will keep doing it until she perfects that thing ;) Again, you can put on thicker clothes and since it's cold outside she'd be okay, but I don't know if it will prevent redness on the knees. You may want to get a gate or something, or close the doors to rooms so she doesn't get into things. You'll want to babyproof and eventually toddler-proof the house. My house has been baby and toddler proof for 5 years now and will be probably a few more years. Get on the floor and see what she can get into, put in her mouth, etc. That way you are getting from her point of view what she can get into. My third child is smart. He wanted to get on the top of the dresser and he was pulling out the drawers to use as a step to get up there!! YIKES!!! so I took care of that by telling him that is a no-no and kept saying so and he hasn't done it again since. I told him he's going to get a boo-boo and it will hurt. But, your daughter will get hurt NO MATTER WHAT YOU DO to prevent that. Enjoy her now and always because it's one way in life, going forward. She will not return to her young years again. Congrats!!! To Mommy and daughter!!! I'll pfay for Wisdom for you.