Here’s my method for cleaning lenses. Always use a blower to clean the lens. That way you don’t drag dust particles across the lens and scratch it. If the blower won’t do it, then use a lens brush. Make sure to keep the lens brush clean, and never touch the bristles. Use the blower to clean the brush, or soak it in isopropyl alcohol if nessary (like if you get skin oil on it). Always the purest isopropyl alcohol you can find, cause the other stuff has water and water can leave droplets. If the brush and blower won’t clean it, then move on to the microfiber cleaning cloth. Always use a separate section of the cleaning cloth, so you don’t spread the contamination. When it’s time to clean the cloth, just wash it in a cup with water and a drop of laundry detergent (I use dye and perfume free for sensitive skin), ring it out, and hang to dry. Don’t use fabric softener, cause that stuff will leave a film. If the microfiber cloth alone won’t do it, use a microfiber cloth with isopropyl alcohol or lens cleaning solution.
That’s the order, and it works pretty well for me. Also, I’ll say don’t sweat a few tiny dust particles. I find they rarely make a difference in the real world. The more you get into photography, the less you worry about dust and scratches. I also don’t use filters for protection. Lens caps do a better job, and cheap filters can add flare and be harder to clean than lenses. Multicoated filters aren’t cheap, and I can’t afford to buy a new one for every lens I own. But if the trade off is worth it to you, then go for it. The reason the filter debate continues to rage on is because either method is equally valid. Neither is right or wrong.