I used to bottle. Long ago. I never did the bottling bucket and mixing but that would provide exact results.
I would just add the sugar to each bottle instead of a bucket. 1/2 teaspoon table sugar produced decent results on average. 1 teaspoon you got some foam.
My buddy bottled my beer once when I was on a long trip away...he used a tablespoon....I lost a lot of bottles.
If you are using a bottling bucket the above advice is good. Realize that a three gallon recipe may not yield 3 gallons into the bottling bucket. When I use a bottling bucket I get all the beer into the bucket and then use a calculator to figure how much sugar to add. I use table sugar because it’s cheaper and easier to get than corn sugar. Use the online calculator based on what sugar you choose.
There is a lot of thinking these days that aims to avoid oxygen getting into your beer (oxidation). To avoid this consider priming bottles individually. This is of particular importance with highly hopped beers. Prime bottles individually and fill bottles directly from the fermenter. This is a good thread in that subject as well as this one.