I find myself enjoying the "Kill 'em With Kindness" record most but "Got Friends," "Bitter Strings," "Change You," and "Your Eyes Were Shining" are really super great songs.
I'd just say don't start with the "Got Friends" EP (because there are only 3 songs plus some remixes) but, really, you could start anywhere...it's all super good. The older stuff is a little more aggressive/loud/rocky at times then the newer stuff is.
In other news, I'm pretty bummed that I don't get to see 'em on this tour. I saw 'em in February and it was super good. If you guys get an opportunity to see The Jealous Sound, you'll really want to go.