Talk to your staff that interact with EMS, roll out a response card to the staff, and have them write up an attaboy whenever they catch the people doing something cool. When the crew does a good job with a difficult patient, makes a good catch, navigates a complicated situation gracefully, or just develops a rep for being good to work with, have them jot a note on the card and get it to the crew via their leadership.
It's always great to get called into the bosses office for a good writeup.
Keep drinks in your EMS room, and give vouchers to the hospital cafeteria with your attaboys, or with patient dropoffs.
People always make bags and stuff with the hospital logo, or calculators with the hosp logo, or coffee cups, but anything more than an ink pen is total clutter for me. On the other hand, each of my kids has 2-3 hospital duffel bags that they use all the time, so I guess they're good for somehting.