Guys, I don’t think Babs should be in a relation with Batman or Nightwing.
Batman is too much of a mentor—the power dynamic is too unequal for a relationship to feel natural.
Nightwing is too similar. The dynamic does not bring out interesting tension or contrast and, in the hands of the wrong writer, risks making Babs a second fiddle.
I think it would be best to have her with a normal but supportive guy—maybe even like a male oracle—or someone with powers that isn’t directly connected to the bat family who has a hard time with that aspect of her life. My two cents.