I think if there's 4 teams that are in terrible positions it's Montreal Minnesota, Colorado, and Tampa.
Montreal has some decent UFA's this summer, specifically Danault and Tatar, who are due for another decent contract and could form 2/3rds of a really solid top-6 line. If Seattle is thinking what I'm thinking this seems like an interesting opportunity to get two pieces of a stable, proven two-way top-6 unit. And Minnesota is in a bind w Dumba Unless Suter waives and they expose him or they protect 4D, which will expose a decent top-9 forward. Colorado has a tough situation with Graves behind Toews, Makar and Girard. Boston is also gonna lose a decent player, either young depth dman or a winger like Kase. Tampa is screwed with McDonagh and have a lot of UFA forwards they can't afford/ don't have spots for.
Other than that, Nashville will have to make a decision with Ekholm, Carolina will lose a young D, St Louis with Dunn or a good young forward, Dallas may be in a tough spot with Jason Dickinson who has been solid this year. Florida will lose a potential top-4 dman in either Gudas or Forsling (assuming they protect Ekblad, Weegar, and either Yandle or one of those two). Nutivaara or Stralman as options too, unless they go 4D in which case they lose a Duclair/Wennberg. And Dreidger potentially who is a UFA. Isles losing a solid dman in Leddy or Mayfield or potentially Dal-Colle. Philly could use the opportunity to clear an expensive forward like Voracek or else a solid bottom-6er like Lindblom or Laughton. Toronto with Holl, Washington with Jensen or a goalie. Winnipeg maybe with Logan Stanley.