The tubs are NOT rodent PROOF, either. They certainly are more rodent resistant than cardboard packaging, but given enough time, rats will rather easily chew through Rubbermaid type containers, and even mice CAN if they're hungry enough.
Also, as pointed out above, if you didn't make certain your food was completely pest-free BEFORE putting it into the tubs, they make a lovely dark place for them to emerge and multiply.
The ONLY preps I don't open completely and check are those in mylar bags with 02 absorbers... and I even open the buckets they are in (the only exception being those I purchased in "super pails") and check to be sure the mylar is still holding a vacuum. Actually, I only do this once- in the first "yearly check" after I packaged something in mylar and stashed it in a bucket. If it held fine for a year, it's good to go for long term.
Oh, and bay leaves are sort of a mild deterrent, but no more than that. I'd never count on them to do anything if there was an actual infestation- they MIGHT possibly deter a single moth or two from laying eggs in a container which had them, but there is no guarantee. Same with peppermint oil and rodents- they hate it, there's no question about it. But given a choice of starving and freezing outside, or coming into a warm place which smells like peppermint... guess which they'll choose?
After long experience, I don't store ANYthing in it's original packaging. I strongly suspect that most of the time, the bugs actually are in the packaging- in the glue or seams. I've never had an infestation in anything I brought home and immediately (within a week or so) dumped out into a storage container. But I DID bring pantry moths home in some whole wheat flour that was left in the paper bags it came in... and learned my lesson. (the same flour I had dumped into a large sealed jar didn't have any sign of bugs. I call that a clue)
I do the same with pet food- I bring it home and immediately dump it into rubbermaid bins. I've taped over the air holes in those (they're usually hidden under the handles) and I've never had a problem with moths or weevils in it. It stays fresh for at least a year that way, in our fairly cool climate. If I was storing it for longer than that, I'd probably go the Mylar bag and O2 absorber route for that as well.
Summerthyme