I want to replace a 35-yr old bath vanity light with attached convenience outlet, with one that does not have an outlet. My electrical experience is limited to replacing simple fixtures. What should I look out for when I remove the old light, and what should I do with the outlet wire?
Thanks much,
SJ

SJ,
Does the light have to be on for the outlet to work? If so, then likely the connection to the outlet will be made internal to the fixture itself.
So you'll only really have 2 wires coming out of the fixture that will attach to the two wires coming out of the wall. My guess is you'll not have a ground wire, so just black and white wires. It should be just like a regular light fixture.

If, on the other hand, the outlet is always hot, then I would put a wire nut on each wire that goes to the outlet and tape it with electrical tape.

Good luck,
WallyH