Redirect to Separate Pick-Up Location Based on Address

I have two physical locations where my customers pick up their orders. As it stands now, all of my items that are at both of my locations are visible to the customer, and there have been many instances when customers mistakenly select items for a physical location that is not close to their home address. Essentially what I am envisioning is two ECommerce sites within one instance of WooCommerce, and WooCommerce directs the customers to their respective location based on the address they provided during registration. Please bear with me as I do not know if this is feasibly possible.

Instead of a customer immediately seeing my inventory when they access our ECommerce site, they are presented with a log-in or register screen. After registering, WooCommerce directs the customer to one of two possible ECommerce sites based off of the customer’s address. This way the items available within each ECommerce site are specific to that location.

Again, I do not know if this is feasible, but I would appreciate any information and suggestions. If this is not feasible, alternatives are also welcome.