Noise when starting 2003 Prius

Has anyone else had this problem???

I have a 2003 Prius with 60,000 miles on it. Everytime I start the car, unless it's really warmed up, I get a squeek with the initial engine startup, then another smaller one about 45 seconds later... It doesn't happen each time the engine starts/stops, like while driving, but almost everytime the car is started. I had the water pump replaced already, as it was making some noise, and this squeek is coming from the electric motor side. An ideas???

 

Thanks for the help!!!

I don't think it has anything to do with the brakes. The only times I hear it are:
1. Initial engine starting (i.e. "eerrrech" -like an old squeeky door opening)
2. 30 - 45 seconds after start (shorter "erch" sound)
3. Then ocasionally I'll hear it when I turn the car off (i.e. "eerrr")

I've tried driving with the windows down, and radio off to listen for it as the engine starts / stops, and I've had my friend start the car while I listen from out in front. It definately sounds like something coming from the electric motor side and I was getting really concerned it might be a Transmission issue. I don't know much about the transmissions used in these cars, so...

That brings me to another question:
Is there any source of schematics for the car? I looked for a Chiltons or Haynes repair manual, but couldn't find anything out there. I used to do all my own maintenence with my Subaru and still do with my Jeep, but the only thing I feel comfortable doing to the Prius is an oil change. Obviously, anything major would be taken into the shop, but it'd still be nice to get some more info on how it all goes together.
Any other advise would be greatly appreciated!
Thanks...