Omnipods might be too big for a 3-year-old, but they attach right to the skin without tubing. Get a free sample from the www.myomnipod.com and see what you think.
Just request a demo from both Medtronic and Animas. They have similar disigns. The Animas One Touch Ping has a carb calculator, which is cool. However it also requires a lot more button pushing than a Medtronic Minimed. To see them in action look for "One Touch Ping" or "Minimed insulin pump" on youtube. Lots of people have posted videos.
There's also a must have book called "Pumping Insulin" by John Walsh. Good general information.
Pumps are little overwhelming at first, but most people adjust to them pretty quickly. You can dose in tiny units, skip meals and set a base rate of insulin that's tailored to your daughter's needs. I did shots for the first 25 years, but have used a pump for almost 10 years now. Would never go back.
By the way, I've had type 1 since I was 4-years-old. I'm 38 now with no complications and a great husband, (non-diabetic) son, and job. Diabetes will cause your daughter to do things a little differently, but there's no reason she can't have a good, long, healthy life.
Take care. -Jenna