Here is the top view and dimensions

Kitchen remdel · More Info

Kitchen remodel · More Info

Several questions:-

Are you

1. Taking down the ceiling?

2. Re-using the existing cans?

A simple pattern that avoids the bump out for the fridge and the hood should suffice. The counter tops will be better lit using UCL than overhead lighting.

If you're intending to re-do the ceiling, and install new cans, 4" CR-4 lights could be nice in the space. The exact placement of the cans will depend on what the obstructions exist above the ceiling board.

We aren't taking down the ceiling, but will have new cans installed and drywall repair.

The fridge is counter depth also, although the door will stick out f the enclosure so I am sure a can by the fridge would go out more than 26"

A simple pattern of cans (except for the two over the sink) would suffice.

If you're looking to reduce costs, you could attempt to re-use any that are already in the desired location and figure out where the rest would go. That also means using new cans with the same aperture as the the re-used can(s).

If none of the existing cans are to be re-used - all in the wrong location and there are a significant number, it may be more sensible (i.e. - practical and perhaps cheaper) to redo the ceiling than to patch holes. Your contractor should be able to provide advice.