You can get the part at your local auto parts store. This is a less than 60 second project and cheap so you won't have very much time and money invested in it if you need more troubleshooting. The relay is in the Interior fuse box (behind left kick panel) . You will see a relay that is Turn signal/Hazard. Pull it straight out just like a fuse. Take it with you to the parts store in case they don't have that listed in their books or computer. You can match it up to what is there.
The have factory replacement relays for like 2 to 5 bucks or you can buy an electronic relay for like 6 to 10 bucks.