@OP - What model is your Music Hall Turntable. If it's one of the more budget offerings, you should include a Turntable / Arm / Cardridge upgrade.
As regards amplification, a high quality integrated is more than sufficient for your speakers given their efficiency. Passlabs has been mentioned and is excellent.
I'm not sure of Copland from Denmark is distributed in the US but they make excellent integrated amps.
Prima Luna has also been mentioned and is a good choice in Tube amplification.
If you are using old cables with your system currently, be sure to put aside part of your budget for decent cables. The list is endless, but in terms of widely available cables, Audioquest do a very good job.