Bottle to sippy cup

My son is almost 1 year old and has been practicing drinking from a sippy cup for a couple of months while at home. He uses bottles at daycare. Since his breastfed, I used and am still using the slow flow nipple on the bottle. The flow from the sippy cup is much faster, so he ends up wearing more than he drinks lol. Any tips on how to help him transition to the sippy? Or do I just need to make the switch?

This is the sippy cup we use. I tried the 360 a little bit, but since there’s no nipple he couldn’t figure it out. Maybe I should try that one more often?

Thanks!