I have played the current course and thought it had some fun holes, and was of interest. It dates from 1893, and James Braid renovated it in 1923. How the 4th and 8th holes cross over is pretty unique, and the back nine is fun, with some good holes. The 12th & 13th holes have a unique piece of history in that John Hudson had consecutive holes-in-one on them in 1971. What makes this more remarkable is that while the 12th is a par 3 (198y), the 13th is a par 4 (today measuring 328y). It is reviewed in my book Golf's Royal Clubs.
The place they are moving to is about 8 miles away (from memory) and an existing facility that EGD will renovate. I know little about the course where RN are moving to, or what the plans are, but EGD have been earmarked for the project for a number of years while the planning/financing/permissions have been under negotiation.
Scott