I understand how you feel!
Missy can be a little bugger when it comes to that...
I hate seeing eye boogers or dryness to the hair around her eyes, it's just annoying! I have to get rid of it immediately....so I hold her nicely towards my lap and I take the cloth or cotton ball soaked in hot water and slowly go to the dirty area, she tends to bite it but I get my other hand to distract her (Starts playing with my hand, licking, biting the usual) and when she calms down I always say goood girl missy! and give her her little treat...I just keep saying good girl and gets even more calm and quiet! also, when it comes to combing, I do the same thing and she stays still like a rock!
It's tough, but you'll get her to cooperate soon!