Many thanks for all recommendations. I did not know that this many phono preamps exits with two inputs that can support either MM/MM or MM/MC. Most of them cost over $4000.
Finding a perfect phono preamp for my system would be a long journey.
My current system: Plinius SA102/CD-LAD, Apogee Diva, Garrard 301 with two arms (Ortofon RMG309 with SPU Gold, and AS212 with SPU mono), and Clearaudio Bluemotion with Ortofon MC20, SL15E, SL20Q, Denon 103R, ...).
Phono pres are Whest PS.20 and Yaqin MS-12B.
An SUT is Hashimoto HM3 based Live! MC-10.
Most cartridges I have are low MCs (below 0.1mV for Ortofon cartridges except SPU Gold which is 0.2mV, and 103R), the SUT works pretty good with them. That is why I want to keep the SUT. All phono pres with MC input mentioned above do not have gains high enough for sub 0.1mV output MC cartridges.
My plan is to purchase a phono pre that is noticeably better than Whest PS.20 and Yaqin. Whest and Yaqin sound different, and for some music I prefer Yaqin to Whest on my system. Belived or not, my Yaqin performs as good as a few $1000 phono pres that I've had a chance to listen to.
I'll keep looking for some of the suggested models. My budget is $1500 (well, that makes me very hard to find one that would work for my system.)