How can I stop my eyes from itching around my tear ducts?

It’s driving me mad!
The inside corners of my eyes where the tear ducts are itch like crazy. Rubbing them make the itch worse.
I’m afraid of applying any kind of anti-itch medication, and I don’t know if some sort of lubrication would help.
Rubbing your eyes is never a good idea, facial skin wise, and I’m over 50 so I feel like my face is racking up the years.

Yeah, I itch all over, in a general way, but I put a lot of that off to dry skin/winter weather. I’ve been applying Aveeno Anti-Itch lotion to the rest of my itches and they’re tolerable.
I take generic Zyrtec occasionally.

Help.