I'd snag a slightly used Mcintosh MA5300 integrated. Manageable size and weight, one box solution minus the streamer. 100 non autoformer w/channel , very nice dac built in, low power, low heat...run it 24/7. For me Mcintosh makes you just enjoy the music and not analyze it at all. Certainly there is "better" equipment to be had, but not necessarily more enjoyable.
This should leave a fair amount in the budget for speakers. Don't rule out high efficiency speakers like ZU Dirty Weekends or similar. Tons of great options but I'd push the plan up for that sub if you're going bookshelves. You can start off and get great sound from one sub.
Good luck with your system, enjoy the heck out of whatever you end up with.