Move up scenario.

This I could see happening if a player that really really like is still available and they know he isn't going to make it to their pick. A couple players I would do this for are, Berkley Catton, Tij Iginla, Anton Silayev and Cayden Lindstrom. I think there is a good chance we see at least one of these players at #10.

2024 1st Round Pick - #19
Pick: Terik Parascak

This is something that could happen if Vegas decides to shed some cap from the roster and really likes a player available at #15. Detroit sends them a replacement player with some upside, who will be cheap to sign.

Move down to improve the team scenario

Detroit moves down to #19 but in doing so, they get a player that will make the team better. Karlsson would be a good add and could fill the second line centre spot. This would allow Compher to move to the wing or 3C. Give us extra centre depth in case we lose Larkin again.
For the pick, my top choice is Brandsegg-Nygard but he is likely gone before #19. Other players I would target are Sennecke, Parascak, Jiricek, Connelly, Stiga, Basha, Hage and Elick

Trade down scenario

This would give Detroit a couple options, make the pick (like I'm displaying here) or package it with our other second round pick to try and get into the late first round or very early second round.
I have Detroit taking Sennecke but any of the players I listed on the Vegas trade would be good. With the pick acquired from Chicago, I have us taking the KHL goalie Ilya Nabokov. I know we have Cossa and Augustine who are both looking good but you can never have too much insurance with goaltenders as far as I'm concerned. If people are worried about his size, which I have seen some comments about, he's only a inch smaller than Shesterkin and same height as Augustine.

Possible continuation of the Chicago trade

Packaging both of these seconds to try and get into the late first round or very early second round.

Players I would target are Basha, Emery, Elick, Hage, Howe, Chernyshov

Detroit gets to move up to ideally select someone who might have slipped in the draft. They should still get a pretty good player at #20.

Sending a second and third to move up 10 or so spots.