is there a room you want to free range the bunny in? If so you might get inventive on bunny proofing. I saw someone make the cutest miniature picket fence for around walls that the bunny was nibbling on. Something that you don’t mind the bunny nibbling on and keeps your baseboards safe. You could just put cardboard up if you don’t care if it looks fancy. As far as carpet I keep a lot of cheapy throw rugs to toss down over places that the bunny has shown an interest. Chair mats and such would work too.
You could also set up the larger pen in the basement as her safe place or cage. If she is a single bunny I would try and keep her up with the family as much as possible, but then use the basement area for when there won’t be any supervision, especially when you are learning her behaviors while out.
Lastly, make sure to give lots of ok things to chew on. cardboard, branches, wicker toys ect.