An easy recommendation, that I have experience with, would be the Rogue Audio Sphinx v3 hybrid. It has a built in phono input and headphone amp. I have had one for about a year or so and like it a lot. New, this amp is in the middle of your budget range. I have my Rogue paired with Zu Audio Omen monitors. You will have enough power for an open concept living room. Also having all the peripherals in one unit should make things not stand out.
There are many other amps out there, btw, so expect a lot of recommendations.
I have attached a review from Herb Reichert of Stereophile.
https://www.stereophile.com/content/rogue-sphinx-v3-integrated-amplifier
http://www.rogueaudio.com/Products_sphinx.htm