What speakers match my system? $3,000 Budget

I highly suggest that you use the recommendations here only as a guide and not as means to make a decision. You will have to find a way to listen to at least a few models to get a sense of the range of tonalities and identify what sonic cues are most appealing to YOUR ears. If I'm not mistaken, I would guess that the vast majority of Audiogon audiophiles would also describe "deep/ rich bass and mids, better clarity and detail in the highs, and also something with a smoother transition from mid to high" as desireable, but the challenge is that you're unlikely to get too many of us to agree as to what speakers satisfy this need.
Having said all this, my personal preferences are Thiel first and Vandersteen second. A preowned pair of Thiel 2.4s are hard to beat for the $$$.

I would like to mention that Adele 21 is the worst production imaginable. I like the music but I can't play it at home and instead just enjoy it as background music at the grocery store. You need tone controls for that one. Even with tubes and soft dome tweeters the high notes are unbearable.

Tektons (Pendragons) and Gallo Classicos (CL-3, CL-4) will rock your world. The Tektons are *very* efficient, no need for any more than 75-100 watts/ch. amp. The Classicos would like to see a hi-current amp of 100 - 200 watts/ch...

-RW-

How soon are you moving? And how permanent will your new place be? I might wait until you have a room for those speakers...

I think Zu audio's speakers all look interesting.