Death's Cap mushroom is the primary one you need to be concerned about. Look it up. I have a number of different kinds pop up around my property during wet weather. My girls like some types, but leave the majority alone.
Lots of mushrooms are toxic, and it's impossible to remove every one that pops up every time! You can google mushrooms with photos, and there are books available too, and it only really matters if either you want to eat some varieties, or if a pet eats one and you are sure what kind it is, because of evidence.
Mary