Don't skip (as I did) steps 15-19. Otherwise, you'll wait a week before GoDaddy releases the domain to your new registrar. When you manually accept the transfer as described in the blog post, the process should complete in a few hours.

The http://blog.jeffepstein.me/post/14629857835/a-step-by-step-g... link you mention needs extra attention. I just moved my final domain from godaddy to namecheap last night. I didn't have this tutorial at the time, but this is the process I used and it worked flawless. I started the process about midnight...took less than an hour of fiddling around in total...this morning, the transfer is complete and safely in namecheap's hands ;)

The reason I want people to read Jeff's article is because a year ago I did about 35 xfers from godaddy and it was not as easy as it is today. Now, I would almost call the process "painless".