Some use a microfiber cloth. Be wary of dust embedded in the cloth. It can scratch the coatings on your lens.
Excellent reason not to use a cloth, but a one time use, lens paper.
When we were cleaning lenses on the lasers, scopes and scope cameras at work, we use methanol and not Isopropynol alcohol to clean the lenses. ISO would take off the coatings. We used Nikon lenses in our microscopes and scope cameras too. Our "macro" photography was to allow us to measure microns.
I use Nikon Lenses partly because of this influence. Because I don't like carrying a bottle of liquid around in the bag, I have opted to carry the pre-wetted Nikon wipes.
It was also required of us to wipe in one direction only on the lenses. Never in a circular motion. Some of the images the lens makers showed us were pretty incredible. The patterns were rather nice to see and they had ways to tell exactly how or what someone did while cleaning to destroy a lens. And when your lens costs $50,000 +, you pretty much listen to what the lens professionals tell you.
So I take a lot of what they taught me and carry it into my personal lenses.
Blow any debris off the lens if possible.
Avoid wet cleaning if at all possible.
Use disposable wipes. You don't want to carry the debris into the next cleaning.
Wipe in one direction only. If you can, with that area of the cloth only once.
Use the recommended cleaning solution. Yeah, other things will work, but are they compatible with your coatings to NOT take them off. Not all alcohols are the same.
Don't press the paper onto the lens with your finger tip. If anything, make a small "ball" and lightly press that against the lens.