I just watched a few of your films, and can't see hardly any light flicker. A link to a video of yours that has light flicker might help in finding out what exactly may be the cause of your light flicker. And as mentioned by minifig051, make sure that your camera settings are switched to manual; as far as 3 lamps, it's not exactly necessary, as I sometimes use only 1 and don't get any flicker. In terms of basic things to prevent general light flicker: wearing black, not blocking any lamps, not having any uncontrolled light on your set (the sun, computer monitor, etc.), paper over your lamps (technically this only diffuses the light, but I've found that it solves many light flicker problems, especially those resulting from light shining off a minifig), stepping away from your set before taking the picture, and yes, using more than one lamp. A link to one of your videos with bad light flicker would, in theory, show us how much light flicker you're getting, which might help narrow down the possible causes.

-kcirbfilms

He's probably worried about the paper chatching fire.

Baking paper doesn't catch fire. It doesn't even get hot.

The paper won't catch fire, guaranteed, if you don't have it right up against the light bulb. Trust me. The paper doesn't get warm in the slightest. I've left all  4 of my lamps on all day, and the paper doesn't get warm in the slightest, because I just take a piece of printer paper and tape the edges to the edges of the lamp. The paper has about 4 inches of space between it and the light itself. Judging by that, I'd imagine that that's why you're getting light flicker; only other option, if your dad is really paranoid and won't allow paper or baking paper, is just turn the lamps away from the set, pointed at the wall, or the ceiling. I know a lot of brickfilmers who do this, and once you mess around with the camera settings, you can't even tell that your lamps aren't "on" the set.
-kcirbfilms