I'm not sure why they're doing this at this time of year. This would seem to be one of the least-likely times of year to focus attention on the NFL, but anyway...
FWIW, my choices were:
Favorite: Dolphins (always loved that logo)
Least: Bills (how many different colors of stripes are there again?)
Favorite: Bengals (way ahead of its time, and now a classic)
Least: Titans (worst helmet in the league, and they have such potential if they'd change from white and use the "T" sword logo instead of the flaming ball)
Favorite: 49ers (the ONLY thing I like about that franchise!)
Least: Giants (the lone red stripe on the navy helmet is a mistake - it doesn't show up well)
Favorite: Packers (I like the cheese color)
Least: Lions (absolutely ruined their helmets and uniforms with the misplaced black stripes)
They're going to narrow it down to eight semifinalists and ask you to vote again on Sunday.