Integrated vs. Separates on a Budget

I have a jolida 1501 integrated amp with maranta cd5005 and signet sl260 speakers nht sub. That’s my setup with your budget! I’m satisfied with the sound for what I paid. One day will make the move for higher end!

You could get a used Parasound A21 with a new Schiit  Freya plus. That would kick the pants off the majority of integrated amps at 3k. 

Cambridge Audio EVO 150 seems to tick all your boxes 

and hit the $3k budget right on the nose…..

Lot of information missing. Is a remote needed? How many inputs? Does it matter if the room gets warmer? Is a phono stage needed? Is a dac needed?…..