Assuming Windows 10 so AHP won't really work. There are several options other than AHP, but I would recommend HomeGenie. You can set up the motion sensors as either several house/unit codes or a single HC/UC and have a program play a sound or alert you in some other way depending on what you want.
Basically, what you want to do shouldn't be a problem but you'd probably need to provide a little more detail. If it were me, I'd probably consider using a Raspberry Pi rather than your gaming machine, but either would work. If you go RPi, for what you want to do a cheap Zero W would work, but I would recommend the RPi3 as a sweet spot for cost to performance. For your simple request, a Zero W would do just fine.