Is there a green way for me to clean my laptop without buying those prepackaged computer babywipe things?

Why yes, there sure is!

Lightly spray a microfibre cloth with a solution of 50/50 white vinegar and water and then give the whole thing – keyboard, screen, touchpad etc.- a good wipe down. 

Vinegar is a great streak-free cleaner, making it ideal for screens, and also kills up to 99% of bacteria, which is great for that germy keyboard. Especially if you have a husband with big gross dirty meat paws. For example.