WordPress version: 4.9.4
WooCommerce: 3.3.1

If you’ve successfully got your local pickup showing in the WooCommerce cart totals box, but can’t get FedEx and Local Pick Up to both show at the same time, here’s the solution:

Set Origin Postcode

1. Go into the zone you’ve set up for local pickup.
2. Add FedEx as a shipping method.
3. Edit the FedEx Shipping method and enter the “origin postcode”. This postal code should be where your physical store is located.