Wiring low-voltage undercabinet lights

No, no other circuit can be shared with Small appliances circuits. Besides, low-voltage electronic transformer will be controlled by dimmer specifically designed for that transformer. So the receptacle the transformer plugs in is dimmer controlled. I read instructions on several web sites and no one mentions where to place the receptacle the transformer plugs into, no where to place the transformer cord.

Instructions come in the packages.

The outlet used is usually just one of the outlets over the counter.

You can plug the transformer into the same convenience outlet above the counter that you would plug in a mixer. No problem. Assuming the under-counter lights are designed for it, they will have their own switch and maybe dimmer.

Other's are not designed the same way and you need to check the specific instructions packaged with them for what may be required.

You are not likely to find many of the second type at your local home store.

When our kitchen was redone, they installed a switched outlet at the back of the small cabinet above the microwave (over the range). Then they located the transformer in that cabinet, which is such a difficult location that we wouldn't use it much anyway, and ran the low voltage lines down and through the bottom of the cabinet to the under-counter lights.