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.

woocommerce add fedex shipping to local pickup zone