Alright, first get a cooler where the fish can turn around comfortably in. Full with tank water. Buy a battery powered Air stone also an run it for the trip, you can find these in bait shops normally.
Next, get enough gallon size zip locks. Bags and put your filter media in along with tank water to keep the BB alive.
Next remove all tank decorations, I would put them in a 5g bucket an its up to you if you want them wet, be warned it will cause a BB die off if their dry but nothing major.
Toss the substrate, imho
it's takes a lot if cleaning to make sure you remove all that waste that's stuck in it an could add to the stress if it causes a mini cycle.
When you get to the new house, slowly do a long drip acculmation as the water chemistry is likely to be very different. While this is going on, set up the 30g