
If you can't find a REALLY clean bucket with a lid, another suggestion is a food cooler. These usually can be cleaned, then use about 1/2 aquarium water and 1/2 clean water of the exact same temp. Just deep enough your fish are happy, but not so heavy it is hard for you to carry. The lid will keep the fish and water in, and these don't turn over as easy as a bucket. Water should also stay warm easier.
For your aquarium, take most of the water out, and put filters and decorations in the water that is left to keep moist. A 29 gal shouldn't be too heavy.

Hope for the best!