I'm guessing they won't have interest in Lopez, historically, he's got terrible control and the Twins pen is built on control pitchers these days. They should have interest in Moore though.
With them willing to option Ober, they should have some interest in Giolito. I mean Giolito vs Kuechel? That shouldn't be a tough decision.
As for the outfielders, I'd guess their interest would go Grichuk, Renfroe, Bader. I mean, why would this team want Bader anyway, he's just as bad at hitting as Luplow and doesn't do anything Michael Taylor doesn't. I have no interest in Renfroe either. His .623 post season OPS and 34% post season strikeout percentage are awful. Grichuk doesn't do anything for me either, but he's the best of the three options by quite a bit since his bat is comparable to Renfroe and his defense is comparable to Bader. The highest ceiling option is still Austin Martin, which is where they should have turned weeks ago.
But three claims seems like a lot, I don't know if the Twins would be willing to risk taking on all of the salaries. So my guess is they put claims in on Moore and Grichuk and if they happen to get the greenlight to go wild, Giolito as a third.