I once participated in a very drawn-out discussion on this subject:
http://www.doomers.us/forum2/index.php/topic,54088.0.html (I come in on page 5)
There's lots of nice back-and-forth there, and I endeavored to provide links to as many other viewpoints and discussions as possible. I feel now, as I felt then, that the moon landings, and the evidence we have of them, are genuine. Part of the reason they feel fake is because they were thoroughly planned, scripted, rehearsed and tailored for TV. The moon landings had to not only go off without a hitch, but they had to look good, too, so NASA made sure that their offering was suitable for the public. The other reason they look fake/weird is because space is very different from Earth, so we ought to expect the unexpected (and explosive decompression, which you're always expecting when you're in space).
A final addition for humor's sake: