Want to add weight to wacky rig hooks. Believe I can do this by wrapping thin wire around the upper portion of the hook - only want about 1/16 oz of weight. Any ideas on what kind or type of bare wire is better for this?

I use weighted strips. They come in a package of about 50 that have an adhesive backing. They are about 1/16 oz each strip. You twist them around the shank of the hook. They work great on weedless or regular wacky hooks. I wrap as close to the eye not getting in the eye and wrap down.

Stainless steel .20 dia. safety wire.

https://www.amazon.com/SAFETY-WIRE-STAINLESS-STEEL-MS20995C20/dp/B019GBYAG8

Lead wire used for fly tying.

Buy the weighted wacky jugheads...

https://www.tacklewarehouse.com/Zap...DdQSlPYn00h-fRI553CPxME01aBoC7v4QAvD_BwE

Solder

Lead tape will work well but I've always used these when I wanted a little weight for a whacky rig. These are awesome because they also have a weed guard. It's the Revenge Flippin Wacker. They come in 4 sizes...1/16, 1/8, 3/16 and 1/4 oz

This, buy a roll and keep it with your tackle.
I also wrap some of my treble hook shafts to make a bait suspend or go a little deeper or ride deeper on one end or the other.
They also sell lead tape at golf shops, but the solder works best for me.

been using solder for this for decades. bought it at radio shack...

I just pinch a split shot on the shank with my needle nose pliers...I keep 1/16 and 1/8th split shot all the time.

Falcon Lures Weighted Weedless "K" 
Just a suggestion...good little hooks, comes in various sizes