I haven't ever flown fpv before. I want to place my fpv camera in the cockpit to keep from getting engine oil and stuff all over the lens. Here's a picture of what it looks like.

Since I haven't ever flown fpv before, I don't know if that's a good place to put my camera or a bad useless place to put it. What do you think?

I'm gonna say NO!!!!!!

I would not want to fly with that being my only view.

+1
Plus, you will find looking though the prop disk very disconcerting. The prop can cause amajor herringbone effect making it much harder to see, even without your other restrictions.

where would be a better place to put it? I have a trainer so there isnt an obvious good place to put it.

If it is a small FPV camera and you dont mind a little surgery then how about a few inches out on the left wing (opposite the muffler).
Say 3" clear of the fuselage.

Or underneath (as long as you can invert the camera/video)

I hate to belabor the obvious, but I am myself a glo/gas engine fanboy having done very little with electrics.

But the thought immediately occurs to me that if a person wants to go FPV, then electric is the only sensible option, so this might be a good time to "go electric" if you haven't before.

I haven't yet played with FPV, but I want to, I can tell you that I have already decided to do so with an electric build for the two most obvious reasons.

Vibration: Even ignoring the fact that vibration is hard on the camera electronics, FPV should be better with an electric airplane if the camera isn't vibrating due to the engine running.
Cleanliness: The moment you take out the "messy" quotient, mounting and flying becomes a heck of a lot simpler and enjoyable.

The pic in the OP is already starting out hazy, and the engine hasn't even been started yet. Once that glo engine starts throwing sludge on the windshield, you may quickly run out of any useful FPV that you had when you started.

http://vimeo.com/42435976

Try hanging the cam under the wing, has worked for me for years. The hd cam suffers more from the vibration of the glo engine vs electric.

Just out of curiosity what FPV setup are you using?