It's quite presumptuous to say that since you do fine with your one shotgun that anyone is incorrect in wanting or needing something else.
I hoped I won't be considered presumptuous if I offered some non internet based actual hands on advice. That is my word for today presumptuous
You will do fine with one shotgun and no. 4 buck LEAD if you shoot enough paper with different chokes and get the best combo for you
Lets see I reload or have in lead over the years no. 2 ,B ,BB ,#4, #1, 0, 00 and 000 for coyotes in 12ga 3 and 3 1/2 and 10ga. Also reload steel, bismuth and tungsten ( not TSS)
From what I seen in 10 and 12ga LEAD 4 buck by far is the best bang for the buck and does very well as far as pattern goes and reaches out there to kill coyotes dead. Too dead sometimes the way it rips them apart
Yes I have a ton of different choke tubes to try oh and yes did I say I own one shotgun sorry I own after the herd clean up still 86 shotguns so more than likely have his covered or close to it
Never said anything about anyone being incorrect I said as long as lead is allowed you are wasting your money killing coyotes with non tox shot
IMO Tss shot is for when you can no longer use lead like migratory bird hunting not banging coyotes .But hey we all have one
I was just trying to save the OP some money nothing more
8 pounds of Tss $234.00 , 8 pounds Lead 4 buck $59.00
Dead is Dead and no coyote is worth that cost of TSS ammo
If you got money to burn/waste fill your boots but don't expect to see more dead coyotes since LEAD kills
To each their own
Cheers