The process of replacing/disguising/changing real logos with something generic (or unseen) is called "greeking", btw.
It should only take a few minutes to take care of any offending visible logos, and it's probably worth the effort. Not 'cos of any "trouble if they see it" thing, but what happens if your video becomes wildly successful for some reason and someone wants to license/buy/use it for something where real dollars are involved?
That's when you'll be kicking yourself for not taking the short time to cover your butt earlier.
There's a variety of ways to hide lables/logos, from coloured sticky tapes to markers to turning bags/bottles sideways to using DOF to blur products in that range... to manually distorting stuff in post (which some people here have done. Interesting before/after images, for sure).
There are also companies that specialise in this stuff, and which rent no-name products (from soda cans to wall posters to anything) with logos that look supsiciously similar to real brands... but aren't. That's an option, but probably a bit too much for your needs. Just mentioning it.
Post teh video when it's done!