You can store multiple Addresses against a User/Company by clicking the 'Address Book' tab on the CRM User/Company edit view.
Here you will find you can add as many Addresses as you like by clicking the 'Add Address' button in the top right of the tab bar.
Default Shipping Address & Default Billing Address (Can be used to identify a preferred Address, or front-end to auto-select an Address)
Address Line 1
Address Line 2