In my basement I have a light switch which powers on one light. In addition I have two separate lights which are controlled by a pull chain and are independent of the light switch. I would like to tie in these light with pull chains to the light switch so when I turn on the light switch all three lights come on/off. The lights with pull chains would be removed so it would just be a light. The basement is unfinished so I have full access to all the electrical runs. I'm wondering if this is an easy solution that I can do myself and if so are there any suggestion how to make this work. If this is a job for an electrician then I can hire one but wanted to see what the community thinks before going down this route. Thanks in advance.

Recently I was cutting a 6" hole for a recessed LED disk. It was through 2 layers of 5/8" drywall, and I used a multi tool--my preferred tool as I don't have the hole saw. Seems you have to push the blade straight edge (or angle it slightly) while plunging into the ceiling in a circular motion. For me hard to do accurately. I had a few minor glitches outside the circular hole. Is there a better way with the multi tool on a circular hole? Or was It just more challenging with having 2 drywall layers? My thought was having a blade that had a cutting edge on 2 sides rather than one. But I don't see such a blade online.