Annette, not a turkey baster its a hypodermic needle w/ a large reservoir.
I snipped the very small branches/twigs sticking out from where the cluster was and bent the branch forward and gave them a very abrupt shake to loosen them from the limb, most fall into the box, others go airborne. Of course I was right under them on the ladder while doing this. I then went down to the ground.
I like to then sit down with the box across my lap looking into the box for the queen. Once I spot her I catch her with the hair clip catcher or my fingers and either set her in the box in the catcher or cage her and set her in the box.
I then hit the box against the ground so bees fall down from the top and quickly put the lid on.
If the swarm is close to the ground when you shake them, they may march right in, in mere seconds or minutes.
This one was approx 10' from the ground so it took them longer to orient to the box even after shaking the branch a second time to loosen about a softball sized mini cluster that still thought the queen might be up there.
I could have facilitated the process by setting the box atop the ladder but I knew they would all sooner or later orient to the box, which in this case took about 45 minutes total. Besides I was having fun chatting with the people watching so I was in no rush.
As long as they are kept in a cool place and are fed, you can keep them in the box for several days if you wanted to, but of course you could transfer them that day or the next.
Timing is of the utmost essence when dealing with swarms, so you want to act quickly when you get out of your vehicle. They may decide to leave while you're gabbing it up, so get them in a box or hive whatever, then you can enjoy the event and answer questions or shoot the breeze.