What Azhrei said...
This is at the top of my "quick hits" list. So the quickest implementation IMHO would be to simply list all available movement types on the basic panel. Since HL already knows you can fly at x speed with movement mode y on the special tab, throw it on the basic tab along with the base speed.
Checkboxes and movement modes would be cherry on top, but bottom line I'd like to quickly know how far my Eidolon can fly. I spend enough time switching characters and tabs as it is!
Oh, and BTW, my Eidolon forgot to vote when the summoner voted so that's +7 now...
