Is the swarm trap near the colony you're moving it into?
If not, definitely close up the swarm trap in the early morning or late evening when everybody is home. You can then set it next to or on top of the hive you're going to move it into, and open it up for the girls to get used to the new area for a few days as mentioned.
I always like to move bees into a new hive in the heat of the day when most the foragers are flying and it's warm enough to not chill the bees/brood.
That can be a little tricky since they are oriented to the swarm box location.
I'd move them later in the day as it starts to cool off. Then put grass and branches at the new entrance to try and force some reorienting.
Many of the field bees will go back to the old location but should realize nobody is home anymore and go into "search" mode looking for the colony, or another nearby to call home. As such, it might be best to keep the swarm trap down for a few days so you don't just end up creating a queenless colony.
Move it at night to where the permanent placement will be. Even doing that you will
lose some bees that stay out at night. Usually about a cup full. If it concerns you you can put up another box to call catch them .You can move the frames into the hive the next day.
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