We bought a size that even kids can help carry. Using large tubs allows you to pack more in each tub, but then they are so heavy no one wants to carry them. If you need to move stuff out to a trailer etc., get some carts or hand trucks. Look at ways to warm up the environment and mask distractions. We use the pipe and drape as room dividers and to help dress up the front of the worship area.
Some churches use plants and banners.
Plan out your set-up. We put the nursery in the room with the most soundproofing. Classes for preschoolers are near the restrooms. We have been meeting full-time in a local Elementary School since August. This gives us enough time to set up the sound system, Sunday school rooms etc.