recommendation for phono pre amp and mc cartridge, around 1000$ each

Audio Technica AT33PTG/II with Sutherland TZ Vibe 🎶

Run with twisted pair cable terminated with RCAs is ideal even though the latest Locos use RCA inputs which even accept Rega wiring schemes.

The jist of it is that less wire in the coil means lower output voltage but lighter mechanism hence more detail and faster response. Other factors notwithstanding. 

is there any advantage to a low output Mc compare to high, or mid?

The jist of it is that less wire in the coil means lower output voltage but lighter mechanism hence more detail and faster response. Other factors notwithstanding

Does that mean that the HO no longer are tracking and staying in the grove then?

is there any advantage to a low output Mc compare to high, or mid?

With a transimpedance or current input phono stage such as Sutherland’s TZ Vibe, the lower output MC cartridges typically exhibit a lower internal coil generator impedance which benefits greatly to maximize current flow (music delivery). 

I’m using a Rega ANIA MC cartridge feed into an iFi phono2 on a Sony PS-X50 Deck and love it. And would be in your budget.