[gregpark]

I would suggest running the same wood flooring that's in the hall and the rest of the house into the bedroom(s). You'll never match the existing with LVT and it will look tacky.
Edit:
FYI, replacing the wall to wall carpeting is far cheaper than installing hardwood to match (and buying area rugs) if cost is a concern. And, IMO, bedrooms are the only place in the house where wall to wall carpet makes any sense