I do support the REL T/9x given your original posted budget. When you go up the line, subs will generally dig deeper with clarity. Good brands, up the line, will have better constructed drivers, more inert cabinets and more power. You have excellent speakers and really just need to augment the bottom octave. In real world use this I see it as the 25-50hz range. The T/9x will do this and the S/510 will do it better. The S/510 will roll off lower and give your system more weight. It would be unfair of me to speak about the B&W sub since I've not heard it.
When you meet with your dealer, make sure they are familiar with your room. If they haven't see your room, bring some pictures to share. Also, be sure to talk about the structure of the floor and what's below it. This is important to how the sub will play in the space. Good luck and cheers