Currently developing a shopping cart, the options for persisting the cart, as i see them are:
#3 is probably your best bet, because that gives you the most freedom/flexibility. Say someday you want users to be able to save their shopping carts between sessions. Or you want to keep shopping cart histories for your users. Or you decide to run some analytics on shopping cart data.
#2 is a bad solution because of the cookie size limits on browsers. You're setting yourself up for nasty bugs where large shopping carts get corrupted, particularly in older browsers.