Well that sounds pretty much like our routine. DS wakes up between 5-6am, then usually naps around 8am, noon, and 4ish. Then asleep at 8. But he's transitioning to 2 naps at 10 and 3ish and still to bed at 8.
If he would only sleep in until 7! Or at least 6. Most days he's up before 6. It kills me! We've tried earlier bedtimes, later bedtimes, more naps, fewer naps, different naps, and he still wakes up between 5-6. I will light a candle for the wonderful individuals who figured out how to make
Good luck with the plan! I wish DS would just cut the 6 or so teeth I can see waiting and get it over with!