3 codes thrown, could it be a short?

[Deezul_AwT]

Checked my codes again today, and picked up a third one. Now I have the following three codes:

P0102 Mass or Volume Air Flow Circuit Low Input
P0135 Oxygen O2 Sensor Heater Circuit Malfunction (Bank 1, Sensor 1)
P0443 Evaporative Emission System Purge Control Valve Circuit

I can still drive the car fine with the codes, but the orange SES light is bothersome.

Some other searches on here turned up three codes similar to mine, and it pointed to a short or fuse. It appears all three share the same 12V circuit. What's the easiest way to check for a short? I have a multimeter, but where do I need to hook it to test the circuits? Unplug MAF and O2 Sensor, and connect red and black on the multimeter to what? I have some other work that I have to take the car to the shop for, and if I can just have them test for the short and fix it for 30 minutes of labor, it might be worth it. But I don't want them replacing any of the parts, as that's about $200 alone.

[BillBoost37]

Start by checking the fuse. Is it blown, does it blow immediately? If it blows right away, then you have a short and you start checking the power lead to ground. Find where the bare or pinched wire is and fix it.

[Deezul_AwT]

Any idea where the purge valve solenoid is located on the engine? I know where the O2 sensor is as well as the MAF, so I can trace them pretty easy. Haynes manual either gives the purge valve another name or just doesn't mention it.