We only have coyotes of those you’ve mentioned, and if one (or more) is on my property and I feel threatened, I am allowed to shoot them without a license. Any time of year.
We also have raccoons, groundhogs, white tailed deer, possums, foxes, and skunks.
No feral hogs, no bears, no mountain lions, though I do see an occasional bobcat.
Look, I’m pretty much a nature lover who happens to think that alligators are out of control in Florida, where I grew up, and someday would consider moving back to. It looks less and less likely I’ll do that though.
I promise you, I won’t bother with Texas. Been there done that.
You can shoot coyotes coming onto your property to get your chickens, livestock and pets. There are a lot of coyotes-they started multiplying too much after people killed off the native red wolves early in the 20th century-they got replaced by the more numerous aggressive, clever coyote. Nature hates a vacuum and will fill it with another species-there are even coyotes in Alaska...
My family came to Texas and NM from Spain by way of Mexico before 1800. I have no desire to live anywhere else but Texas-I do have cousins who live in Florida-in the Miami area-my husband and I visited them many times-it is a beautiful state. They’ve told me the threat that game wardens and the fish and game people are worried about are the non-native pythons and anacondas that have bred from pets that were released by owners who no longer wanted them, and now there are so many they are out of control.
They are supposedly decimating and crowding out the native snakes and their prey-they also get into yards and eat pets. That is why the fish and game people want them out of there. I’ll bet a big anaconda or python would crush and eat a small person, too-I would not like to meet one outside a zoo...
I’m very glad it is too cold for anacondas and pythons here-thankfully, if you are caught releasing a non-native/exotic species of animal into the wild here, there is a huge fine...