I've been cleaning my spectacles for years with dish detergent and
tapwater and an old cloth diaper.  Over time your lenses will acquire
a network of incredibly fine scratches no matter how careful you are
in cleaning them or what lens coatings you paid for.  These sorts of
scratches don't interfere with vision - its the big honking scratches
that turn up after you drop your spectacles on a concrete sidewalk
that are a problem.

Just remember to rinse them first with running water to knock off
large debris, use just a dab of detergent to clean, and rinse
thoroughly before buffing dry with a clean cotton cloth.

Some folks would have you believe that only a microfiber cloth should
be used to clean anti-glare or scratch-resistant coatings.  I would
beg to differ for a lot of reasons, foremost that my spectacles always
have an oily coating on the lenses when I use special cleaner and
synthetic fabrics to clean them.

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Reply to the list as I do not publish an email address to USENET.
This practice has cut my spam by more than 95%.  
Of course, I did have to abandon a perfectly good email account...

Personally, I would not use a lens cleaning cloth on glasses, especially
with AR coating. Over time the cloth retains dirt and will scratch the
coating.

I think its important do  a good job of rinsing off the lenses first to
get as many scratch inducing particles  as possibile.
I use the lens cleaning solution that comes in spray bottles. If it
doesn't have alchohol in it, I add some. I think it helps to disolve
the oils that accumulated. I gently rub with my fingers and then polish
with regular tissues(Kleenex type). The only problem I had with
scratching was when I was in France. Although the tissues over there
seem as soft as here, I did develop some scratches. May just be a
coincidence, as I've been there twice before without problems.
LensCrafters sells cleaning towels(paper) but they are more expensive
and don't seem to work any better.

I used to not even wipe off the solution- I'd rinse it off and "blow
dry" with my mouth. Never got scratches that way, but it seemed that my
glasses did not get quite as clean as when I wiped off.

I really try not to touch my glasses with anything; cloth or not - dish
liquid to clean, run through warm water until the water beads up, and
then gently dab off the remaining drops with something absorbent,
without 'rubbing'. I have no issues using coarser paper like kleenexes
for that purpose, because all I do is tap to absorb the remaining
drops.

I use a micofiber towel to clean...the ones you can get for dusting.  So far
so good.