If you read your manual, you see that it says to use a lint-free cloth and a solution of water and alcohol. (50/50).
Unless you are a mechanic and know how clean and care for them properly....I don't think you can afford it.
They are made of accrylic and scratch extremely easily.
I am sorry if I sound like an a-hoo, but I have seen what happens when someone who does not know what they are dealing with.
If I were you, I would have a plastic placard made up that says "DO NOT CLEAN WINDSHIELD" and place it on the glareshield when you leave the plane so the line service guy does not come by with some MEK and a shop rag and jack you windshield up.
If you are intent on cleaning it on the road, I would recomend you take with you a bottle of water (drinking water is fine bottled water...lol) and a box of KAY DRY tissues.
Pour the water on the top of the windshield and let it flow down, pulling off any large particles. Open the KAY DRY tissue and fold it into quarters, start at the top of the screen and wipe down....always down and NEVER side to side. Side to side wipping will leave scratches that you will be able to see from inside the cockpit when the sun hits it. Wipping down, if you do scratch, will not likely be seen from inside. (polarized lense).
Wipe down, flip the tissue over, wipe again, flip the tissue over to a clean area, wipe down, and then throw away the tissue. Use more water if needed.
Water and tissues are cheap compared to the cost of a new windshield.
I have not prices a lear whindshield lately but it will be upwards of about $35,000. plus the maintenance.
GATOR
Certified Challenger Windsheild Cleaner
(lol...no joke)