Angelfish cope with moves worse than their size suggests. They are tall and deep-bodied with long, delicate fins that tear easily, they hold territories and remember hierarchies, and they are quick to go off their food under stress. A move planned around those traits, individual packing, warmth, darkness and a tank waiting at the other end, turns an ordeal into a quiet day they mostly sleep through.
Set up the destination before the old tank comes down
At the new home, assemble the tank first: substrate, decor arranged with the vertical cover angelfish like, filled with conditioned water brought to their usual 76 to 80 degrees. The single most valuable thing you can move is the old filter media, kept wet in a bucket of tank water during the journey and installed as soon as you arrive, because it carries the bacteria colony that makes the new tank safe from day one. If the journey is long, the tank hardware travels in the last load out and the first load in.
Fast them, then bag each fish on its own
Stop feeding a full day before the move. An angelfish digesting a meal in a sealed bag fouls that small volume of water quickly, and clean water matters more than a missed breakfast. Catch each adult gently with a soft net, guiding rather than chasing, and bag it alone: adults and mated pairs can turn on each other in the dark, and single bags also stop fins being nipped in transit. Fill each bag about one-third with tank water, inflate the rest with air, double-bag against leaks, and stand the bags upright in a dark box padded with towels so they cannot roll. The box rides in the car cabin, never the trunk, where temperatures swing wildly.
Settle them slowly at the other end
Float each closed bag in the new tank until the temperatures match, then open it and add small amounts of new tank water over half an hour before releasing the fish gently by hand or soft net. Keep the room dim and the tank lights off for the rest of the day, and do not feed until the next morning; an angelfish that refuses the first offered meal but eats on day two has had a normal move. Watch over the first week for torn fins, white patches, rapid breathing or one fish hiding persistently while the others explore. Test the water daily in that first week, and if appetite has not returned after a couple of days or breathing stays labored, contact an aquatic veterinarian, because transport stress can open the door to infections that need prompt advice.
Putting the move sequence on the angelfish's KinsLe Family Sharing profile means the person packing the car, the person driving and the person waiting at the new house all see the same fasting day, bag order and lights-off rule, and nobody feeds them early out of sympathy.