Over the past couple of years I have owned and gigged every combination of the Markbass 121 combos and cabinets. I.e., CMD121H with TRV121H, CMD121H with NY121P, CMD121P with CMD121H and finally CMD121P with NY121P.
Whilst they all sound great IMO, I have actually settled on using my LM3 with either one or two NY121P cabs because this cab has a tweeter level control and does have a bigger sound than the CMD121P (perhaps because of the slightly larger internal volume over the CMD121P combo). The TRV121H cab is a great cab but is almost as large as two NY121P which together go louder with more control IME than a single TRV121H.
Just like the CMD121P hits the combo sweet spot in the Markbass range, the NY121P does it for me in their cabinets.
Assuming you are happy with your tone then my preference would be to have one NY121P at home and two NY121P at the studio and carry a LM3 between the two.