Reminds me of the uglified camera to deter theft. https://web.archive.org/web/20090521084503/https://blog.jimm...
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The ruse would fail instantly you took the camera out of the bag. Or when you have no child, and look like you are wealthy enough to have a camera hobby.
We used to tote around one of these: https://www.ebay.ca/itm/388909924480
Not very fashionable, has wet wipes hanging out the side, the pockets have stitched icons for what they're meant to hold like a soother and diapers, etc.
Having a child as a prop would definitely help, but a frazzled look and some wet wipes hanging out the side would probably help it along quite a bit.