Maybe place the mutt on top of a mems microphone? as soon as the mutt is being moved this should cause a use contact sound. Trigger the camera from a sound level detector?
PDont think you even need an MCU for this
Datasheet has no noise data (except for a 100Hz quote, which is useless because 1/f is a bit high on this part). The Spice model is pretty accurate too, and it has a low source-resistance. From source-resistance and...
Ad743, AD745 are fast enough for 1kHz sounds, LT1113, LT1792 and the newer ADA4817 are low noise candidates from Analog Devices. The sub 1nV preamp in TAOE is in figure 3.3.4 page 152.
OMG, did you see that price?
You can get those in SMD for 38cts/piece, or 10cts/piece per 1000. But try the opamp first, opa1642 or 1654, opa134 etc...
Some comments:
For low noise you can try J309,LSK170,LSK489,INF3601. J309 is 35 cents and will be much lower capacitive load too. Look in The Art Of Electronics 3rd edition for a 1nV/sqHz preamp example and more...