Eh, there's only one person at my small company that I would consider dating, but they're married so it's irrelevant. As far as hospital staff goes, one of the ICU RNs is pretty cute and one of the ER techs, but that's about it.
Being married to somebody who has nothing at all to do with medicine has killed my dating prospects.
It is good for keeping work at work though. I can get published in a respectable journal, singlehandedly save a life, and have my ego checked by coming home and being treated like Harry Potter at the Dursleys'.
Around here it used to be Kallie's Restaurant on Mack Road (now burned down) and Murphy's Bar at 99 and Grantline (torn down for an overpass). Cops, deputies, nurses, some firefighters....many doomed marriages!
I vote against dating in the same company but dang it you spend so much time around them! lol. I would absolutely prefer a firefighter over a non-firefighter just because most who aren't don't understand why I want to up and leave to run calls, lol.
You can always start a conversation by asking them for help, like directions to the restroom. Or to where you can get a glass of water. Or the to the cafeteria. 95% of the time, they'll offer to take you. And that's when you work it.
I have noticed that there are so many hot 1st year doctors at the local government hospitals - my girlfriend whom I do love very much is a 2nd year paramedic student so I don't really care about them, but apparently my partner says I do turn heads at hospitals.