@Patrick Flanagan
First of all, contracts on your little baby!! I happen to be a labor and delivery nurse in the Portland area and work with/ know a ton of traveling nurses (none of which are psychotic OR mutt, btw). They are usually looking for a clean, quiet place to stay and are typically very good tenants. Like others have said, the standard contract is 13 weeks but some like to extend 26 weeks. One tip is that many of them are hired for night shift, so the quieter your place during the day while they're sleeping, the better. I also know many traveling nurses who like to travel in pairs (i.e. two best friends) so sometimes two bedroom apartments are great as well. All of the nurses I know use furnished finder and generally expect all utilities to be rolled into the cost of rent. I would suggest spending some time on furnished finder checking out your competition's prices/amenities/furnishings to get some comparisons just as you would do on airbnb/vrbo for a STR. I hope that was semi- helpful!
And again, congrats on your new kiddo :)