My preference is as follows (for the deals I listed):
1. Orioles (w/ Rodriguez)
2. Blue Jays (w/ Moreno and Tiedemann)
3. Orioles (w/ Holliday)
4. Dodgers (w/ Vargas, Miller, and Pepiot)
5. Blue Jays (w/ Kirk and Tiedemann)
6. Dodgers (w/ Cartaya and Stone)
7. Rangers (w/ Jung, White, and Porter)
8. Mets (w/ Baty and Parada)
#1 is easy to me as, barring further health problems, Rodriguez is as close to a lock as a prospect can be to becoming one of the top aces in baseball. Basically, another Burnes, but for 6 seasons (and potentially more) during the height of the Chourio/Frelick era. Obviously, there are huge questions about whether Baltimore would actually include him, but if they did, it's a pretty easy choice along with a potential 3rd baseman of the future in Westburg.
#2 gives you the best combination of two talents, with Moreno ready to help the team contend right now and Tiedemann looking like a potential top pitching prospect in all of baseball. However, the inclusion of Moreno instead of Kirk would probably require the Brewers to part with Mitchell (maybe Ruiz?) value-wise, as the Jays need a CF to take the load off of Springer.
#3 would be absolutely huge for the franchise as it would give you a cornerstone infielder to pair with Chourio in the OF. Those two talents together is the stuff that World Series dreams are made of. And I think it's probably the most realistic deal compared to the above two. The only reason why it's not #1 or #2 for me is because of Hall, who I'm less than enamored with. But he's the only other high-level pitching prospect for the O's, and we absolutely need to get that kind of talent back for Burnes.
#4 is my preferred deal with LA as I absolutely love the offensive profile of Vargas, and he can be rotated between 3B and 1B, two key question marks on our roster right now. Tellez would then be able to spend more time at DH, where he can recoup a lot of the value he loses due to his defense. Miller obviously has a huge ceiling, while Pepiot has that elite fastball-changeup combo.
#5 is a great deal, too. Kirk is an all-star catcher who helps the transition to a more contact-oriented offense, despite only being under control for 4 years. And obviously, Tiedemann, as I discussed, may have the most helium of any pitching prospect in the minors right now.
#6 is very good, but Cartaya, unlike Moreno or Kirk, won't be ready for a little while. Though, I might like Stone more than I like Miller. Maybe not quite as high of an upside, but more of a certainty imo.
#7 is where my excitement really starts to dampen. Jung is a great prospect and obviously we could really use a third baseman right now, but his performance this year in the minors and in the majors was a bit of a step down from last year, when he was looking like a guaranteed stud. Not quite as high on the Rangers' pitching prospects as the Dodgers' or Tiedemann, but White and Porter is still some great upside.
#8 is really getting to the limit of what I'd accept for Burnes. I like Baty quite a bit more than I do Jung. And Parada has huge potential with the bat. But the pitching options are a clear step down from all of the other teams.