Laminate flooring simulates wood (or sometimes stone) with a photographic applique layer under a clear protective layer. The inner core layer is usually composed of melamine resin and fiber board materials. Which cannot be refinished, i suggest putting in a new floor that is more durable, also the life expectancy of a laminated floor in high traffic areas are up to 5 years.
Or you can simply replace with new laminate, it is way cheaper than installing ceramic tile, which i strongly recommend ceramic flooring for your kitchen.
Here is an idea find out the square footage which of the kitchen area which is length X width for the resulting square footage, shop around for discontinued tiles, you may be lucky to find what you need at Habitat for Humanity surplus stores in your are. You will be amazed at what you will find there for a few bucks. I got a lot of stuff there which were left overs that was donated from contractor jobs.