There are many cameras on Amazon for less than $100, some even less than $70, that can do the job you're looking to do. Most have unknown brands as they are made/sold by China firms. Service will be non-existent (except Amazon's 30 day money back) but with a low cost camera that isn't a big concern. I've taken a lot of good videos on those clone cameras.

I always look for minimum specs of 1080p video, 12MP photo or better, make sure it uses standard sized SD cards (no micro-SD) and AA batteries.

I wouldn't buy one under say $50. I need some cameras too so I'll post again if I see good prospects. I just saw this one (not Amazon) with good specs for only $ 23.00. Here is another one for $39 that looks like a clone used by many sellers. The nice thing about Amazon is they are good at the 30day money back guaranty in case you get junk.

Here is that same common clone design, nice specs for $50 on Amazon. Includes 12 month warranty, no-glow. I like this one for $59, I ordered one.

It's probably raccoons eating cat food--they love it. Or possums. Raccoons find it first.