As for storing, you handle sugar snap peas the same way you do snow peas.  The harvesting part is a little different.
Harvesting Tips: 1) Sugar snaps are ready to be harvested when they are a few inches long, the pods are slightly plump. 2) It’s a good idea to snip the pod from the stem with scissors or carefully hold the stem and pluck the pod. 3) Don’t worry if you don’t harvest a few of the snap peas at their prime because you can still shell and eat the peas inside. If you let too many sugar snaps go past their prime on the plant, then it may stop producing.
Short Term Storing Tips:  4) Put the sugar snaps in a plastic bag or container in the vegetable drawer in the fridge. 5) Don’t rinse them until you are going to use them.
Long Term Storing Tips: 6) Remove the tips at both ends and and strings down the sides. 7) Blanch the sugar snaps by putting them in boiling water for 1 1/2 minutes and submerge them in ice waster for about the amount of time so they cool down. 8) Drain the sugar snaps. 9) Individually freeze the sugar snaps on a dish or a tray in the freezer. 10) I like to store enough for one meal in a vacuum sealed bag. They will last longer with no air pockets.
Check out my tips on how to sow and grow sugar snap peas.
