I would say there's a couple ways currently (which will get better soon with Route Blinding).
  1. Open an unannounced channel with the new SCID alias flag, spend down from it some, and then you may receive through it by providing route hints. They won't know your UTXO information.
  2. Have a liquidity provider or even a friend open a channel with you that way you don't have to reveal your own UTXO information.