canefanmd,
Without knowing anything about you or more of your history in this hobby, please forgive me if I come off being condescending. I have been in this hobby since I was 15... and I'm 61 now... (I hate being old...)
With a $3K budget, you have a lot of choices. Maybe even too many choices... While I have nothing against your Adcom setup (I had the same two pieces years ago), but you can do a lot better these days at your budget number. I would still recommend a integrated tube amp with the Hersey's, they would compliment each other nicely. There are a lot of good choices in the under $2500 used range. Look into PrimaLuna, Rogue Audio, BAT, and Conrad-Johnson. Some will include a MM phono stage built in. Stay with the EL34's or the KT-88 tubes. With a 99dB sensitive speaker, you don't need to spend the extra $$ for increased power output of the KT-100's. -120's or -150's. And if you want to really experiment, you could try an integrated with R300 tubes, like a Wellsenton R300 (which you can pick up for about $1200 used).
If you want to go solidstate, there are offerings from Parasound (HINT 6), Hegel (H120 or H190), PS Audio, Musical Fidelity, and even Schiit. All would be a significant upgrade over the Adcom pieces. And you can do it without breaking the bank.
If you need to go with a separate phono preamp, there are plenty of solid units for under $600. Parasound's zphono, Project, Vincent, and Rega are a few good names. I wouldn't spend too much here until you upgrade the turntable and especially the cartridge.
And don't forget to put aside some of the budget for cables. You didn't specify what you are currently using. Interconnects are going to cost between $250 and $350 a pair. Speaker cables $400 to $600 for an 8 ft pair. (... and cables DO MATTER!) Don't worry about spending a lot on power cords right now. Put the money to the electronics and interconnect/speaker cables. If you feel you need to spend money on power cords, you might want to start with Pangea for now and upgrade later.
Do your research. Read the reviews. Search through the forums for specifics and ask questions. Scan through the for sale listings for ideas and don't rush it. Build your system in your head first and work to that goal. (And don't forget to be skeptical. I like to think that most people try to be honest and helpful. ...and I'll leave it at that.)
Let me, and the rest of us, know how we can help you on the journey.
And don't forget why we all have been gone down this rabbit hole... is to Enjoy the Music.
- Jeff