A few things I would worry about
1 - Moving can stress them out more, so I try and put less fish in a bucket than in a same sized tank. If you have a 5 gallon bucket, you should really only have about 5 inches of fish in it. Also given it is a much smaller space, they may beat on each other more than in your tanks.
2 - You will likely need to do partial water changes along the way, buckets tend to funk up faster than tanks in my experience, so bring your favorite water conditioning chemicals.
3 - Be wary of putting anything in the tubs that can squish them. I have lost some fish moving that way. Haul the rocks and such separately.