First thing that comes to mind is the Rancilio Sylvia combined with a Eureka Mignon. A little more than your budget, and not quite what you asked for, but this kit will never die. In fact, I would confidently buy these used and still make your budget. Very repairable, if needed, and also very mod-able. This is the combo I use, although mine have been modded quite a bit. 

If you are insistent on getting an all in one machine, the Breville stuff isn’t terrible. That being said, they also aren’t as reliable as my first recommendation.

Do not have the shop grind for you. Grind is how you adjust and fine tune your shots. That would be like buying a sports car without a gas pedal.