Fancy pollen storage techniques are to accommodate manual labor schedules within business hours.
When you are doing your own trees, use your pollen fresh during the hour that it naturally ripens within the flowers. So pollinate atemoya flowers in the evening, not per that chart which specifies morning. If the female-stage flowers are just barely cracking open, go ahead and spread the petals wide enough to insert the brush. It is unnecessary to remove petals; in fact removing petals can be a disadvantage in dry weather. If you wish to mark which flowers are already pollinated, just break off a petal tip.
Choose which flowers to pollinate. Think ahead. How much weight can this branch bear? How many fruits can reach full size in this one spot? How many leaves will be in the sun further out on this branch to fill the fruit(s) with glucose from photosynthesis? Will this branch wip around in the wind and sling off fruits too far out on the branch?
I use old-fashioned plastic film jars to gather pollen into. Presciption pill bottles or bottle caps will work.
Remember that the stigma is a mass of 60-120 female parts--- if you pollinate only one side of the stigma, that side of the fruit will grow large and the other side will be scrunched up. Before trying to get pollen to stick to the brush, touch the brush to a receptive stigma to pick up some "stickum", then when you lightly touch the brush into your pollen container pollen grains will readily attach to the brush. Insert into female-stage flower, move around just a little, retract, get more pollen, and repeat one more time.