I have "real" hardwood flooring in my hallways which make a circle throughout the house and all rooms join it. Had carpet in the bedrooms and am considering replacing it with a LVT that looks very much like the original hardwood in the hallway. Would it be better to install an underlayment in the bedrooms so the LVT height closely matches the hardwood in the hallway or just use a transition strip in the doorways?

Thanks!