With very fleshy peppers like Anaheims, Bananas, Jalapenos, etc., I just rinse them off, dry them well, & pop them whole as is in a ziploc bag in the freezer. When I need some, I just take them out, give them another quick rinse under running water to "just" thaw them a little, & then while they're still partially frozen I can very easily seed, slice, dice, or whatever I need to do for the recipe.
With the very skinny thin-skinned peppers like Thai, Cayenne, etc., I rinse them, dry them, string them on thread, & hang them up to dry. When completely dry, I store them in air-tight plastic containers in the pantry.
For types that are sort of inbetween the above, like Tabasco, Serrano, etc., I use as many fresh as I can, & then "pickle" the rest in plain white vinegar in the refrigerator.