I believe I have arrived at my final destination for current CBO teams for what their team nickname will be. I don't want to change any of the rest, and some are just perfect from my POV: Salem Witch Hats, The Slog Ghouls, University Point Deathclaws (in-game association), Diamond City Swatters (of course), Vault 81 Dwellers, and Atom Cats. I guess the Hancocks could change if Hancock ever dies and then has a new owner, but probably not. I have the right amount of creatures/beings of the wastes: Ghouls, Assaultrons, Bloodbugs, Synths, Radstags, Deathclaws, Mirelurks, and Yao Guai. I considered Super Mutants in there, but then had two teams, one in the BMU and one in the upcoming Far Harbor league that are Behemoths. I may still change up that Far Harbor team, though their mascot is different. And of course, every logo that features the Fallout boy is an in-game perk: Party Boys, Four Leafs, Lady Killers, Chemists, and Ninjas. Those are some of my favorites for team nicknames. Some of the goofier perk names/logos were left out or designated for the BMU.
There were certainly some teams that I was happy to change: East Boston Prep to Easy Town (my naming of the area based on Easy City Downs in-game); Jamaica Plain Treasures to Red Rockets because the Treasures logo was just terrible, even though it did have an in-game association; Egret Scrappers to Ninjas, again because of my dislike for the logo and the Fallout Boy perk did not convert well; and Fairline Hill Estates to FHE because I hated typing out Fairline Hill Estates and kept wanting to add an 's' to every word.
I will definitely tweak the BMU more. There is a story coming up about the NWL and that, too, will change in the future once I have the time for graphical creativity. Also, the CBO is not finished for its number of teams (not expansion, exactly, but a future need for another level of minors to accommodate the sheer number of players and help develop young players better).
For the BMU, current changes I have planned are: change the Mole Rats to the Knuckle Punchers, but maintain the color scheme for the BMU team; and relocate one team to Graygarden (maybe for 2301) because there just needs to be a team there and now Oberland has its own riverside stadium to play in. There are a few team nicknames I am reconsidering changing, but I have made no immediate decisions.