If you wanna dtilt, your best bet will be to use it out of some crispy movement. Run cancel dtilt or WD (out of DD) dtilt are both super useful tools, but you've gotta make sure you understand how early the IASA frame is on the dtilt. If you whiff because it hit their shield, initiate your dash and go in with a JC grab because a lot of players don't understand OoS options too well. Nair as an approach is a really bad idea, but fair can work just fine provided you don't commit to it. If you're in close quarters with your opponent and have a barely approaching, in-place, or fading fair, you're in good shape, though. Fair, dtilt, and grab should be your three main neutral tools besides super crispy movement.
Also, try to play without the other tools you use in the neutral and just use dtilt for a bit in an attempt to feel out when it is and isn't a good idea.