Can I eat these mushrooms that came up in my yard?
Only after you make absolutely sure via a trustworthy mycologist that they will not kill you. From the top the yellow ones look like chanterelles, but they are not. Chanterelles have lines (gills?) that go down the stem, not the distinct separation between the cap and stem that you have.
1. Nobody is going to make a decision like that based on pictures--at least, nobody who has your best interests at heart.
2. If you are interested in eating wild mushrooms, you need to find a class, or a knowledgeable person, or, at the very minimum, buy some good mushroom guide books. Don't just glance at the pictures and say, "Oh, that looks like it." A good ID book will have a chapter or two on HOW to identify mushrooms--magnifying glasses, spore prints and even some chemicals may come into the process. And they will mention look-alikes--deadly mushrooms that resemble edible ones.
3. There are old mushroom hunters, and there are bold mushroom hunters, but there are NO old, bold mushroom hunters.
I would say no just to be on the safe side. i used to go mushroom foraging for chantrelles in santa cruz but with a friend who studied mycology. we then sold them to stores and saved some for ourselves. please do not just eat them. you could really kill yourself.
I'm with the "don't eat 'em unless you get an expert to look at 'em" camp.
I had great ideas of gently skipping through the forests of France with my straw basket over my arm, harvesting baskets of wild mushrooms.
I bought a book and began to page through it.
At about 1/3 of the way through the book I realized that I'm pretty happy just buying them at the market from someone who actually knows what the hell they're doing.