I bought my swift from this fellow.
http://scottsmtncrafts.com/yarn-swifts.htmlLooks like he changed them a little from the one I bought, these have a non-folding, prettier base. My only issue is you have to have the ball winder at the same level as the swift, which really isn't a problem. Oh, and make sure you don't screw it on too tight. You know, cause it has to turn and all.

Don't think I can help with the Lazy Kate issue, I bought the Kromski arched kate. Have no idea how it would work with Ashford bobbins.
PS. The babies are so cute! Congrats ladies!