J.C.
At 9 months i would stop one of those naps. One early morning after breakfast, and one afternoon. At this age he really doesn't need 3 short ones anymore. That may also help him fall asleep faster without vomiting too because he will be more tired. Try to make his room dark (by the way don't if he is in daycare because then he wont sleep there when it's not dark!!). I use a soundspa with my 17 m.o. and have since he was about 4 months. It's the Homedics Projector. It works wonders!! Shows moving pictures on the ceiling, plays ocean/rain sounds and lullabies.
http://www.homedics.com/products/sensory/soundspas/sounds...
I also lay my son down with a cup of water. I don't try to dilly-dally with the good nights, it just makes it harder for them. I had a very tough time with naps at first too. Hope my advice helps!