You'll get better advice if you post some pictures.

I do this sort of work professionally. I have all the colors, products and skills to do this. I can do an average kitchen in a day and it would cost about $400, more or less, depending on the number of cabinets and the amount of damage.

>> I am not soliciting your business Newer kitchens can have a two part finish that doesn't take other finishes well. A professional can determine this.

Using products like "Restore-a-Finish," in my opinion, do some light cleaning, but are temporary fixes. The times I've used it, a month later, there was little change.

What I would not do is "slap on some poly," as what is on there is almost certainly not polyurethane and other things will bond better.