Signing time and LR are very different so I wouldn't worry about any confusion.
I think the most important part of teaching your baby to sign is consistently signing to your baby. A video is a bonus, because it's more exposure, and with kids doing it. But, to me, the biggest benefit (and I've just discovered them myself, and taught two kids to sign without any special videos) is teaching YOU the signs quickly and easily.
I wouldn't get hung up on how often to show the videos. Just whenever you want, definitely enough for you to learn the signs.
And don't give up if your baby doesn't sign when you think she "should".
Some may sign as early as 6 or 7 months, but a lot hold out until a year or longer. And then when the language explodes, signing can explode too.