I would suggest a cheapo multimeter. You can pick one up at Walmart or an auto parts store.
Using the volts setting remove the bulb and check (with signal running) from the contact in the center of the socket to the negative post on the battery, you should have 12volts. If not take off the headlight and trace it back through. When I did mine I put the same type of connector that the factory uses and just plugged into the harness behind the headlight.
If you have good voltage to the bulb socket switch your meter to ohms, checking from the outer ring of the socket you should have zero to 2 ohms resistance to the negative post of the battery. If not you have a grounding trouble. It can be chased the same way as volts, this is how I realized that I needed to scrape the paint on the bracket for a better ground.
Also you can swap the wires for the left and right signals behind the headlight, if the trouble follows the signal you have problem with the signal, If it switched sides you have a bad flasher.
Good luck,
Gary