Yeah, I was going to say that since you just moved I would not totally get rid of everything yet, and I also agree with rotating and getting rid of the junk toys now while they are not missing them
But, I would pack up the stuff that is available that they are not interested in.
The stuffed animals sound more of your issue, so maybe take a photo of your girls with them and let them go or at least put them away for awhile and see how you feel in a month or two. Give the trains away now since you have someone who wants them.
I read somewhere about letting things go while they are still useful to others, like instead of hanging onto a couch we don't need, storing it and then having to throw it out years later because it was outdated or worse ruined and of no use to anyone. Same with clothes, same with toys, books or anything.
Since you do have a young daughter, I'd hang onto some classic wonderful toys for her, but otherwise pass things on to make room for new interests.
PS I love how you put "Me" first on your list~
you have that so right!!