You are going to get a lot of advice with this topic, BTW.
I agree with the comment about "the Rega is a nice table, but..." (I think I would have been a bit kinder though, since you already own one!) I think it has a bit too much coloration for my taste.
I can tell you what I did, and have not been disappointed.
I purchased a Basis 1400, w/RB300 arm. I also used the Benz Micro Glider II cartridge, and it sounded really good, although a bit on the bright side for me. (I have the Revel Studio speakers which have a great high frequency response, and combining the two was just a bit much. Not bad, but just a bit too bright for my taste. As an analogy, kind of like a CD is just not as muscical as a LP.)
(Both A.J. Conti of Basis (Great guy, BTW!) and Brian at The Analog Room (our local Analog Guru, in the Bay Area), said that the RB300 mates very well with the Glider.
The Basis turntables are really plug and play types of turntables. Tweaking is not required. Also, it looks great! (My wife loves the looks!) The build quality is top notch as well, in fact the motor unit is utilized for the entire Basis line!) A.J. Conti, has been very helpful with both advice and service, so I can attest to Basis having a good reputation for service. (He is currently mod'ing my RB900 for use in my new TT.) However, the dust cover is rather expensive @ $300, although, I think you could build one for $100, and in fact that is what I think I will do at some point. One other nice point, is that it sounds best without a mat, so one less thing to worry about.
To let you know, I am also upgrading my 1400 turntable to the Basis 2001. (I wanted to upgrade to one of A.J.'s designs with a suspension. The 2000 does not come with a suspension, FYI, although it is easily upgraded to the 2001.) I am also upgrading to the RB900 arm, as I upgraded to a Koetsu Black cartridge (as the cantilever on my Glider was bent by a stray finger). Both Brian and A.J. agree that the RB300 was not quite good enough for the Koetsu. I hope to (someday) upgrade to the Basis Vector arm, as I hear nothing but good things about it, (even compared to the Graham 2 arms!)
Sorry to be so long winded, but I figure the more information I give you, the more informed decision you can make.
Good Luck and have fun making your choice!!