We all know that For Glory isn't the best testing grounds, but since that, and a little bit of offline playing, is all I have at my disposal at the moment I'm going to mention some of the things I noticed regarding our newfound grab game.
D-throw is very read heavy. Learn the habits of your opponent. Do the d-throw->u-tilt-> as many u-tilts as you can->maybe u-smash if their DI is bad. If they air dodge early, they'll land in front of you and you have a guaranteed forward smash, unless they DI towards you (because our forward smash doesn't like it when our opponent is right next to us, apparently), but then you can just do f-tilt or d-tilt. If they're a captain falcon or a heavy fastfaller at 0%, you should probably up-tilt once then down tilt to a followup or just our basic jab combo, since falcon has a quick jab and will hit you before you can land another u-tilt (haven't tested regrab but that seems like it would still be within the "no regrabs" window considering they've only been hit by one u-tilt). If they double jump immediately, regrab them on landing until they've been conditioned to spot dodge on landing, in which case you get a free forward smash.
At higher percents, you have to read their DI. If they DI towards you, u-air is very easy to hit. If they DI away from you, a fair or an up-b can be used. Don't up-b fast fallers though (notably sheik), as they'll fall right through it and can punish you on landing.
As far as the actual grabbing goes, I've found that if you want a extra amount of range on your grab, you can get a little dash grab slide in a stationary location if you input a grab with the kara smash inputs - except instead of pressing your attack button, you input your grab right after you input your final dash direction. Otherwise you'll just dash attack, which we don't want. Technically we could do a pivot grab with almost the same inputs as that has slightly more range than our regular grab, but I've found that the standing sliding grab (boost grab?) is much more useful. It does have the dash grab cooldown though, so if you're not sure it will land, just use the regular grab.