E.B.
We use the Gerber sippy cups w/out handles and our son likes them. I also love the Take & Toss cups that the First Years makes. Target sells them. They're about $2 for six and you can get them with a handle that snaps on and makes it easier to hold onto. Or, they make "training" cups with divots on the sides for a better grip. They work well, they come in different sizes (4 to 10 oz.), there are only two pieces (plus the handle) to worry about, and if they get lost, who cares.
I agree, though, that if your daughter already uses sippy cups for water, then try those for milk as well. And if she doesn't go for it at first, don't give up. Just keep offering it at mealtimes (or when you give her milk). If she wants it badly enough, I think she'll get used to it.
I've tried those Nuby cups and the spout is REALLY soft - even softer than a bottle nipple, which turned our son off. But if they're cheap it's worth a try.
Ultimately, buy a cup, see if she likes it, if not, try another. Good luck! I was SO glad to be done with bottles.