Hi welcome to YT! You have come to a place filled with fun, knowledgeable people who love yorkies! I hope you will stay around after you get your answer. You can even sign Gizmo up for our Little Gentleman's Club. If you want to do that you can do so on this thread:
http://www.yorkietalk.com/forums/sho...ight=gentleman
Cleaning out anal glands is a delicate procedure for these little ones. I learned more than I wanted when my sweet Bubba's gland burst last year. So helping them out, is important. I would recommend taking Gizmo to the vet & have them teach you in person how to do this or just pay them to handle the very smelly matter.
If you want to proceed ahead, you can use the search option on YT & search anal glands, perhaps someone can explain it better. What I can tell you is imagine a clock & then the build up is at about 5 & 7 - that's how it was explained to me. If you proceed yourself, I recommend some KYJ jelly (I think that's what the lubricant is called) & some latex gloves