that's
biodiversity in your yard!
You are right, it is very very important to seek advice before eating any kind of mushroom, Amanita palloides for example can kill you.
I am not an expert, but please allow me to guess. Your two photos give only impressions, incomplete information for identification, so the best is only to make big guesses from which you may start your research : the white ones beside the flower poth
most probably are from the family Agaricaceae; the brown behind
probably are from the family Russulaceae; the white ones on your pasture
probably are also from the family Agaricaceae, perhaps Agaricus campestris (also) because they have sprouted from your lawn.
Happy mushrooming!