I did a search here and found I had addressed this type of light with a built in outlet a couple of times.

Here area couple of links to previous questions:

https://www.askmehelpdesk.com/electrical-lighting/bathroom-vanity-light-electrical-socket-165231.html

https://www.askmehelpdesk.com/electrical-lighting/replacing-bathroom-vanity-light-30817.html

The links to websites that offered vanity lights with built in outlets may or may not be still valid.

Using a GFI circuit breaker is the only method of protecting this outlet, and still comply with code.

I need to replace my bathroom vanity lighting with one that has an electrical outlet since I do not have one in my small bathroom. Do you know a place where I can be able to find one?
I want the outlet to be in the lighting fixture (just to be clear).
Thanks!
Emilio

Your not likely to find one because of the new GFCI regulations for bathrooms.

1. 20 amp feed to a receptacle only or a 20 Amp gfci feed to all circuits in the bathroom only.

The only way is to add one to a fixture and the available fixture recepticles are rather crummy. It was a popular option in the 60's.

See the first post of this thread, from another thread, not sure why it became first, but in any case this questions is not new.