Wiring advise for bathroom fixtures

Hi all,

Need some advise on how to proceed with this if anyone out there has experienced doing this. Just moved into a new ( older) house and in the bathroom there is a medicine cabinet/mirror. Instead of a wall switch there are two small incandescent fixtures on each side of the cabinet. At the bottom of each fixture is a plugs and a small rotary switch that turns each one on individually. I would like to add a wall switch and plug next to the right hand fixture about a foot away. Then add either a light bar above the mirror ( would require patching ugghh) or two small fixtures to replace the existing so no patching. I am guessing that the easiest thing to do is remove the medicine cabinet and then try and fish wires to a new box cut in on right side. Both fixtures should have straight power all the time now so I can do any additional splicing in the existing boxes. I am wondering if there is usually room between the back of cabinet and wall to run a new line behind it if need be. Thx for any assistance.

 

If this is ungrounded cable you can't touch it except to change the existing fixtures where they are. Best solution here may be to abandon in place the existing cable by disconnecting on both ends and running a new 20 amp circuit.