i have 3 tubs, 2 full, 1 empty, all wtih the vaseline rim.
i shake all the crap off teh top layer of egg cartons and leave the tubs in the sun till theyre dry, i line the clean tub with newspaper.
then i move the shaken, dry egg cartons that the roaches have climbed back into into the clean tub, and repeat teh process the the tub is as full as it can get.
then i put all the remaining uncleaned egg cartons into one of the 2 dirty tubs, bash teh empty tub to get all the crap into a corner then scoop it out with a spoon, wipe over it with damp paper towels, line it with paper and bash and dry the cartons before moving them over the the 2nd now clean tub.
teh roaches remaining in teh dirty tub i leave with an egg carton or 2 and come out whenever i think of it to bash them into one of the cleaned tubs.
theres generally only a few babies remaining by the time ive dont t hat a few times and i pick them out with a spoon to add them mto the cleaned tubs.
the whole process takes a while, but its somethign i just keep coming back to between cleaning the house and stuff.
a couple might escape here or there, but this is the method i've found best.