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 pothmost 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!
I wouldn't go out eating any of those without a 100% positive identification. If you are really interested in finding out, one step that will help immensely with identification is taking a spore print. This can be done by cutting off a cap and leaving it face down on a piece of paper and covered for half a day or more with a glass to keep the cap from dehydrating (though you probably want to put a corner of the glass on a towel or something to avoid the cap molding). The spores will all fall from the gills onto the paper and their color is often a key identifying feature for mushrooms.