Cleaning eyepiece lens'?

I just received 2 used eye pieces (a barlow and a 32mm eyepiece). There is a bit of dust/dirt on the end of the eyepiece you look through (not the opposite end that goes into the telescope. Would I be ok to clean this off with a microfiber cloth I have for cleaning my lcd screen? Now that I think about it, I have used a cleaner for the lcd screen and that might mess up my EP I suppose. What the best way to clean EP?

Thanks.

Here's the routine I use:

Blower bulb for the big stuff
Then Brush - large goat hair cosmetics type
Spray LCD screen cleaner (Monster screen cleaner) on Q-tip - then rotating Q-tip while swiping surface so clean part of Q-tip on eyepiece surface at all times.
Last, use micro fiber cloth to clean / polish eyepiece

If you do a search of the forum for cleaning, you'll find all sorts of useful advice.