Send out for
Definition 1 of 2
Pro Tip 1/3Convenience Factor
Used when it's easier to get something delivered than obtain it yourself. 
The printer's out of ink, let's send out for a new cartridge.
Pro Tip 2/3Impromptu Needs
Applied in situations where an unexpected need or desire arises. 
Guests are staying late; I'll send out for more snacks.
Pro Tip 3/3Unavailable Locally
Suggests use when something is not currently at hand or nearby. 
We're out of specialty light bulbs; time to send out for more.