Your bedroom is your personal space and what you do with it is your choice. While the rest of the house is open to others, it is the bedroom where you can easily show your creativity and do what you like. You would like an absolutely white bedroom and bathroom; then do it!
While you may be worried about how to maintain a clean living room with white gloss furniture, the bedroom is all yours, it so easy to redesign an all white shiny new bedroom and bathroom to give it that glossy look. You can even up cycle some of your furniture. Get that warm looking bedroom and bathroom with white high gloss furniture. When you do it yourself, it is not even that expensive and also because it is not in public view, it need not necessarily be that perfect piece of work. There are plenty of books and videos available on how to do it.