I use Bona laminate and stone cleaner - the mop and cleaner come as a kit and easy to use ~ they also have the Bona wet pads you can use this stuff is wonderful. I have the wood floor cleaner for wood floors and the laminate for my laminate and tile floors.
Bona for laminate floors. They have different formulations. make sure you get for laminate floors.
E cloth has a mop system that works with water only. Amazon has it for under $30. Works great with no build up.
I agree with some of the others who recommend Bona. That product is recommended a lot for laminate floors. Having said that, you can also clean floors with just plain warm water and a microfiber cloth on a wet "Swiffer" type mop. Try both ways and decide method works best for you. Wishing you the best.
Joanie....I use clear Pledge for laminate
I love my Norwex Mop - you just need water and it works amazing! https://maurawhite.norwex.biz/en_US/customer/shop/product-detail/488215?categoryName=Floor
I use a damp microfiber flat mop and warm water with just a drop of dish soap
Another thing..... Before you ever damp mop a hard floor, it needs a thorough dry cleaning. You can use a dust mop or a vacuum
3 parts of water and one part windex and damp mop the floor