Hi Yahoo,
I've done four of the workouts so far, and here's what I remember about the equipment needed for each one:
--Fusion -- requires a stability ball and light weights
--Tabata and Toning -- I think this one requires light weights and a resistance band (the thick ones without handles)
--Barre -- requires light weights, a barre or chair, and a small playgrond-size ball
--Bikini Bootcamp --this is half kickboxing and half floorowork; no equipment required
I think you would need weights (not bands) for the workouts, but you only need two-pound weights, so that might make them easier to travel with. They don't require too much floor space.
Hope that helps!