You did not say if they are 10 or 20w puck lights and how many watts the transformers are. I would bet the transformer in the kit is maxed out using the pucks that came with it.

You could use all those little transformers but it would need a few duplexes and makes a bit of a rats nest. Those little electronic transformers don't seem to have a long life when used frequently.

If I was forced to install puck lights with a gun to my head I would use a larger magnetic unit. Then you need to find a place for it. If you have 15 pucks on a switch and they are 20w then you would need min a 300w (each switch).

Don't forget special $$ dimmers are made for low voltage lighting.

Look back not long ago Dave was talking about these.

I would recomend not using what the customer has. I would go with under halogen under cabinet fixtures, track 12, or something similar.

Tom