Hello oduckfan,
Yes, REL subs are generally considered very good subs, but there are a lot of very good subs available today that have the same controls and connection methods as the RELs, including the high level speaker connections, but are also less expensive such as SVS and HSU.
Sure, you can plop a sub in each corner and call it a day. You'll certainly attain more bass in your room doing this but you also certainly won't attain the highest quality bass.
You can optimize the quality of the bass in your room by sequentially locating each sub utilizing the 'sub crawl' method. Using the sub crawl method for positioning each sub, it will be obvious at which specific room location the bass sounds best to you, with 'the bass sounding the best to you' meaning bass that is powerful, dynamic, smooth, fast, detailed, accurate and natural.
You'll also notice that the optimum position for each sub will be along one of the room walls but at least 2 feet away from any room corner.
Tim