Phono stage for second system

Within your budget I went with a small Luxman 10wpc integrated tube amp with built in Phono, both MM and MC, with remote volume. Sounds terrific.

Luxman SQ-N150

Stereophile Review

I wanted tube sound, but minimum heat in a small room, so went low power, and decently efficient speaker, restored AR-2ax 3 way with 10" woofer and level controls for the tweeter and mid.

I switch headshells, use both MM and MC cartridge, but you are limited to a MC cartridge that works with the Luxman’s specs, 100ohm load is ideal for my mc: 0.3mv; 10 ohm coil

PHONO (MM): 3.0mV/47kΩ
PHONO (MC): 0.33mV/100Ω
LINE: 180mV/47kΩ

I actually got enough volume out of that amp using less efficient Wharfedale 225’s, but they sounded small without a sub

If patient you can find a late generation K&K Maxxed Out on the used market. Especially with the optional silver Lundahl LL1931 internal SUTs, it will outperform most at twice its list price of $4500 new. I got one for $1800 shipped a few months ago. It rivals my Allnic H3000mkii and my VAC preamp’s excellent internal phono. One box, two tubes, variable loading dial for MC, variable loading and capacitance dials for MM, variable gain options for both, and a mono switch. Excellent resistors and caps throughout. But you do want the last revision to the circuit, which was 2013, IIRC—says on the board. Earlier gens are still excellent (I had one and regretted selling it), but the last is the cherry.

All very heloful.

Has anyone experience with Hagerman Trumpet?  ( was mentioned on an old post)

How about a Gold Note PH-10. With a discount it's one of the best versatile units I've heard IMO.

“space is an issue” 

I would look into Parasound zphonoxxrm. Don’t let its miniature size or modest asking price deter you from trying. I’ve used it in my previous setup (TD124 + Hana ML) and it was pretty impressive in every aspect. 

https://parasound.com/products/zc-zphonoxrm

I have heard nothing but rave reviews about Hagerman Trumpet. Another phono that gets mentioned here often is Simaudio (Moon) 310LP Phono Pre.