Transitioning off the bottle

My daughter turned 1 last month (was 4 weeks early). We have pretty much transitioned to cows milk with no issue. She drinks water and juice from a sippy cup just fine... however we are having a problem with the milk. I use the munchkin 360 cups because that's the only one she would use. Hasn't figured out how to use a straw. She just refuses to drink her milk from a sippy cup and I want to ditch the bottles sooner rather than later. Any suggestions? Maybe a different cup to try? She absolutely hates the hard spout cups.