too little info like what type of filter, the distance of transport,etc but this is what i will do
1) stop feeding fish 2 days before then put fish in bucket with air stone.
2) empty tank water and disconnect all filters in morning, if canister filter, i just leave the water in canister
3) move empty tank and filter to new house
4) fill tank with water, add anti chlorine and connect and on filter.
5) same day or next day go back old house, transport fish in bucket with portable oxygen pump
6) acclimatize fish and good to go
for water change, i usually just drain water, use hose and fill water direct from tap , while it is being filled up, i put my anti chlorine. usually within a few mins. filter remains on.