Some links on splits: 

UoG Honey Bee Research Centre (Canada): Nice overview of some splits using mated queens. (But wear your veil! haha!)  https://youtu.be/FwGWN0AyoFg 

Bee Culture Article: https://www.beeculture.com/making-splits/

The voluminous geek reference of Dave Cushman's (UK) site. I love it.  See left column for many splits and related topics: http://www.dave-cushman.net/bee/increase.html

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About Beekeeping at Five Apple Farm: Leigh keeps bees at 3000' in the Blue Ridge Mountains of North Carolina with around a dozen-plus stands. Hives are managed for bee health with active selection for vigor, genetic diversity and disease resistance. The apiary is self-sustaining (not needing to buy/catch replacement bees since 2010) and produces honey and nucs most every year.