Please help-relocating my new chin mama

Hello everyone. My chin has given birth today and I need to know if its okay to put her in a different cage, because the one she is in rn is to tall and there is a lot of blood at the place where she gave birth. She and kits are hanging right at that bloody place and thats probably not the best for them right? Would it cause too much stress to relocate her in a smaller cage? I am sorry if the question is kinda dumb but I have had only one kit before and he died a week later so I really have no experience. Not to mention that this pregnancy was a complete surprise for us.
Oh and also sorry for my grammar mistakes.
Thanks everyone! :)