Three questions to start... 1) do you need remote, 2) do you need to fill a large room or drive inefficient speakers and 3) do you need onboard phono - if so, MM or MC or both?
Your answer to these will immediately cull your list to a select few choices.
Without knowing the answers, here are a few integrated amps I've heard that you might consider.
Musical Fidelity A220
Musical Fidelity A2
Naim NAIT 1
Rega Brio
Audio Refinement Complete (Alpha)
NAD c320bee
Jolida 302b
Cambridge Audio Azur 540A v2
There are lots of choices in that price range - be patient and you should be able to find any of the recommendations and resell with little or no loss until you find one you like.
Good luck!