You can get these mini PIR detectors on eBay for less than $2 each with free postage.
I modified some of them to have an open collector output when triggered. This suited my Halloween props better.
The output goes high (3.3V) when triggered.
well as adding an NPN transistor in the space provided (at red arrow).
I used a BC847 transistor as it’s common and does the job.
The PIR output now pulls to 0V when triggered.
I found this nice schematic for the module here. (Unusual Electronics in the UK)
The 150K resistor on pin 7 of the chip looks to be for timing the output extension.
Adding a 47K resistor across it (making ~ 35K) reduced the time to about 4 seconds.