So we wanted to talk about this briefly as well. We are a small company with an even smaller IT department so all of our sales run through the shopify-plug-in. Shopify is a great tool for small businesses and they work very hard to keep your information safe. We would refer you to their policies since they are the big players in this transaction. See this link to Shopify, if you are interested.
Here is what the guys and gals at AVIATORwebsite do with your information on our level:
We save your address and what and when you have ordered (basically everything associated with your Order Number) to facilitate sending your items and so we can go back in time should there be any issues with the item or the shipping. We also sometimes give you additional Thank-You-Gifts to show our appreciation for supporting the little guy if it turns out you are a "frequent flyer" on AVIATORwebsite.
Please write us with comments or questions!