I have a separate plastic tote that I have my crickets in with a bunch of egg cartons cut up in different shapes. I just pick one up, shake it off into a small dixie cup, and pop it in the freezer.
If you don't have any egg cartons, a simple empty tissue or paper towel roll will work wonderfully.
As for the whole habitat of crickets, right now I'm gutloading them. Tomorrow I will pop them in the freeze in a zip-lock bag, and a few other containers to see what will work best to prevent any freezer burn. Probably keep a few live in a smaller bin just in case.
I'll feed my little guy right in his Viv, he'll eat them all up, but sometime I'll have to play or pick them up and make them look alive, but never had him turn them away unless he was full.