We started around 2.5 years, and followed the "Oh Crap!" potty training book. We went straight from diapers to nothing (no pull ups, even at night), and it took less than a week. The idea is to take a few days off where you can watch them constantly, go without pants, and catch their "cues" right before they go and run them to the potty. Once they are doing that consistently (usually after a day or so), add pants and repeat, but give them a chance to decide to go themselves. They won't want to go in their pants/on the floor. More than 1 or 2 accidents, go back to day one.
Sounds like you're close, but just need to be consistent and maybe do a bit of a reset, to make it clear that going in the potty isn't an optional, once in a while thing, but the only option going forward. Not sure about your day care situation, but the book recommends against pull ups as it feels just like a diaper, and makes it hard to be consistent.
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