60D (recent upgrade from the XSi)
15-85 (recent upgrade from the 18-55 that came bundled with the XSi - and sold with it as well)
55-250 (also bundled with the XSi but I kept it and have debated the benefits of going with the 70-300L since this lens isn't used very often - but when it is the pictures are often on once in a lifetime trip)
With the exception of the tele-zoom, you're in a really good place. The 15-85 is hyper competent and very fast at focusing. People like to get all artsy with baby photos, but in reality, the majority of photos you're going to want to keep/share will not be done at narrow DOF.
Babies are less like snakes and more like monkeys . . . flea-ridden, plague-carrying monkeys.
(you'll get that joke after you've gotten sick for the 3rd time in a season) -- seriously though, newborns are nice and still, after they start moving, they don't stop unless they're sleeping. Stick with something that focuses fast.
I have and like the 50mm f/1.4, but it's best in lower light, or when you're trying to make a creamy-bordered portrait.
Photographing your own kids is different from child photography as well, at least for me. I tend to be very 'front row' for events/parties/etc. On a crop body, that means most things above ~60mm are way too tight, especially there's action. The 85 f1.8 is a wicked lens, but I'd prefer to shoot it on FF for that reason. I've never felt it necessary to try and use the 60mm as a portrait lens . . . I really need to start using it more.