Yeah, I'm pretty sure a lot will move. No way they release 3 animated features, a DC movie, and the Lego sequel all within 5 weekends of each other.
I don't see Toy Story moving from that prime date. DM3 might move a week or two into early July, like its previous films.
Fox, with the sub-par domestic performance of Dragon, won't have any leverage and will probably have to move Dragon 3 to late July or August, which would force their Untitled Animation (on July 21st) to move to the Fall, possibly to Black Panther's date.