Integrated amp for Nola Boxers 1- My first system

If buying new, the MF M2Si is hard to beat. Belles Aria is also a great integrated if you can find one used.

Edited to add there’s a Belles OCM-200 amp for sale right now for $595 and free shipping and it’s a great amp. It’s rated at 100wpc into 8 ohms and easily doubles to 200wpc into 4 ohms. Not mine. You could pair it with one of Schiit preamps to keep it around your budget. Worth a look.

Get a decent used tube amp for less than 800 and you will be happy with them !

Rogue Audio. Great synergy between those two. 

Yamaha A-S801.  Great sound and will drive those 8ohm Nola Boxers with ease.  Six Moons gave it a very good review a few years ago.   The A-S801 also includes a built-in dac, phono, and good headphone jack.  The reverse loudness is excellent for dialing in low volume listening.    Yamaha's are known for their neutral and "natural sound".

I had one for a few years, but needed a bit more muscle when I switched to larger 4 ohm speakers.  The A-S801 sounded good, but couldn't get everything out of them.

Something a bit different:  Nuprime IDA-8.  Should be able to find one used under $1000.  I have one in a second system.  Great low end and details.  If you have space constraints, check it out - it's small, and has digital inputs for your CD player or other digital sources.

If you can consider a separate amp and a preamp, look at the Nuforce STA 200 amplifier.  $500 brand new.  I haven't heard it, but it's getting lots of positive talk.

Congrats on the new speakers and the start of a new journey