Schools offering CFI certification

In general, Private Pilot license allows to act as "pilot in command". Think of it as your car driver's license. Until you receive your driver's license, you have restrictions such as someone must accompany you while you drive. Similarly, you have restrictions put on you while you're working your way to get Private Pilot's license. Once received, you can take passengers with you, you can fly any time of the day. If you have instrument rating , you can even fly in any visibility conditions.

What can I fly?

Your license is associated with the type of aircraft you traing with. The following list gives an idea -