Going shopping with that kind of money and those requirements ?,I wish you luck ! Live in the real world,it,s not that bad.
This is like house hunting,you list off ten things which you consider important,if you can get seven of those,you are doing well. No way will you get all ten,or in your case,all three.
Despite what you have been told about Chinese machines/motors ect,take it all with a large pinch of salt.
They do make some crap [like many others I could mention ],but they make some good stuff too. My Chinese drilling machine 1983,is still going strong,as is my band saw,2001,as is my lathe and my mill,about 20 years old by now,so dont shoot them down too soon.
The bottom line is that you cannot expect too much for that kind of money,that,s common sense.
Buy something that suits for now and perhaps upgrade later on.