If you are looking at the Toyota Prius, the hybrid-related components are warrantied for longer than the rest of the car, 8yrs/100k miles:
http://www.toyota.com/prius-hybrid/warranty.html
I would think other Hybrids would be the same deal but you will have to check that out.
I don't speak from first-hand experience, but from what I see, Hybrids are great but they are not necessarily the cheapest (even considering lifetime costs) cars. You can generally get a similarly featured non-hybrid for several thousand less than a hybrid vehicle, and it will take a lot of driving to make up for that difference.
For example, I can get a fully featured Honda Civic that gets 25/36 MPG for $23k, and that is with leather seats and navigation. But if I wanted a fully featured Prius w/ leather, I would be paying ~$27k. The Prius gets better mileage (48/45) but I will not see a cost benefit unless I drive way more than the average person.