Singer HAx1 is the same as Schmetx 130 705H. The Singer needles are smaller at the top, and are prone to falling out. I'd stick with the Schmetz. HAx5 is a bit different measurement and will change the timing on your machine, so don't get those.
The Juki 2010, 2020, etc are semi-industrial machines. I consider them to be a little more beefy.