The best example of the problem I have is, say, from 0:10 to 0:20 in the video. The room noise in the background is less distracting than the fact that it keeps cutting in and out. So when editing in Final Cut, you can the "empty" room tone between your sentences, rather than cutting your audio clips so that they only exist when you're speaking. Again, this isn't super important, it's just a small thing that'd hopefully not cost you any additional effort but make the videos easier to follow.
As for Sol's suggestion to use noise removal, I find that that always introduces artifacts, and the artifacts are just as distracting as the noise. Better to just live with the noise floor, I say — but that's just my personal taste.