Can I sync lot and bin from QuickBooks to ShipStation?

Connex will map these fields automatically

How do I map the fields?

No settings changes are necessary.

If you add a bin and lot to QuickBooks, Connex will sync it to the ShipStation line item options:

Here is QuickBooks:

Connex will map the inventory site to the ShipStation warehouse location field, though having a bin means you already know the site.

How do I display them on a pick list?

Please read this guide from ShipStation.