The sun just came out (shockingly) and I'm appalled at how streaked my screen is. I would appreciate any suggestions on how to clean the screen and get rid of them.
You need to look closely at ingredients of products like that. Never use anything on monitors that contain Alcohol, ammonia-based cleaners (like diluted rubbing alcohol or Windex). Here's an article discussing the best ways to clean monitors: https://www.pcgamer.com/how-to-clean-your-pc-monitor/