Yah room is important but maybe you can't do anything to the room. Obviously, you had the Harbeth in the old system, and that worked out fine. I have been in your shoes twice in the last 4 years. I did travel around the country to visit areas where there are a lot of dealers and also attend shows.
The main priority is finding a speaker that you really love and it will probably be different than Harbeth. You are probably going to be looking at speakers in the $20-35k price range. All of the other components are a piece of cake after the speakers. If you find a speaker you really like, see if any are available on the used market.
I once bought amps before a speaker. What a major mistake. I ended up having to sell the amps and never played them. Buy speakers first.