737 Type and ATP Combined
Here's a tip for you all that I was unaware of until recently: I went to HPA for my 737 type. There was a guy there in my class who showed up with a multi engine commercial instrument ticket. When he left, he had a 737 type rating AND a multi engine ATP. The ATP was earned in conjunction with the type. He want through the exact same training as I did and for the exact same cost. And, to top it off, he was a military guy with the post 9-11 GI bill so the government picked up 100 % of the tab! Pretty good deal!
So, my point is.....if you don't yet have your ATP and you are interested in flying for SWA (or another 737 equiped airline), go straight to HPA and come out with both the ATP and the type, for only the price of the type rating. A potential savings of 2-3K! Good luck!