It helps to wear some gloves or mechanics gloves. I found that when dealing with the four connected tiles out of the box, grip the top of two tiles close to the seam. What you want to do is give a quick push pull action. Push on the tile with a loop and pull on the tile with the hook. This will effectively unsnap the first one or two connections. Continue to push and pull till all four connections are undone.
Once you do this it will allow you to unsnap an entire seam at once. With the top of the tile facing up, grab the outside edges of two tiles and bend them over the top of your leg at the seam. Again, give them a quick snap-like action. All four connectors will unsnap at once. Once you figure out how that works, many times you can just unsnap them with a quick flick of your hands without bending them over your leg. The key to doing this is to get that first seam of the four connected tiles undone.