Best method for fixing chips in laminate flooring

The boards near the wall should be replaced before you install trim, if possible. No repair will completely hide the damage.

Most manufacturers provide a means of replacing interior boards. Consider that for a professional result.

Otherwise, the boards in the field could be touched up with some enamel paint. You'll have to experiment with a base color and accent/grain colors. A matte varnish (urethane) might help match sheen, which is a big part of the challenge.

I would check with the MFG. Back when I was still doing flooring, I used a lot of pergo, and they had a filler that matched the product coloring quite well. even without the grain It made it hard to find the oh woopsi, I use an out house word. I have found similar repair kits for Formica counter tops to hide seams when the color match is exact the lack of grain is not so bad.