If you mean the clutch, you take something like a putty knife and gently slide it underneath, and it will lift off pretty cleanly. Sometimes you can just pick one up but you risk damaging it that way.
You can put it in a deli container, with a damp paper towel on the bottom, and something to prevent the clutch from touching the paper. Plastic mesh, something like that, whatever you have. Then you can float the container in a tank, to keep it temperature stable. Poke a few small holes in the lid, you don't want it so wet in there you get condensation, too wet will drown the snails, possibly. Just nicely humid.
When you see signs of hatching, anytime within two to four weeks, depending what report you read, let them fall into the water you have ready for them. They have a yolk they live on at the very first, but will soon be all over the glass eating biofilm, and you can feed them algae tabs, fish flakes, whatever you have really. Just don't allow a big food buildup, when they are small, poor water can take them out pretty fast.
A filter is needed, but you can cycle a new one in days by cleaning the one you have and pouring the rinse water into the new filter. The rinsings will have enough BB to get a new filter off to a fast start. Run the new filter on the main tank until you are ready to put it on the new one, or put the snails in the new tank, the adult ones, to keep the filter fed until the babies arrive. Or a couple of fish would do as well.
