I'm kind of surprised no one pointed out how terrible those photos are, don't EVER use a cellphone for mushroom pictures.
Get books, get as many as you can manage. I highly recommend Roger Philips' books, his photography and descriptions are wonderful. Make sure that you have NEW books, anything published more then 10 years ago is out of date, in a few more years, ALL the books will be re-written. This is especially true in the New World, Old World mushroom science is a bit more stable. Make sure the books are for your area, do not use foreign guides!!! DO NOT use a European book in the US, there are look-a-likes that can be rather dangerous.
Learn the anatomy and terminology. This is done through practice. Use scientific terms as much as possible when discussing mushrooms with people, this language is of upmost importance.
READ THOSE BOOKS!!! Read them from cover to cover. You don't need to memorize, but it will all start to absorb, you'll start to see how it all works.
Go hunting with a friend, gather specimens, keep notes on them, go home, take spore prints, sit down and ID them. Try to use keys if you have some, if not, go through visually. Pick out everything they look like, and then come up with arguments as to why it is one and not the other. Do not discuss your work till you both come to conclusions, double blind ID. Use as many books to ID as possible.
There are edibles that you'll eat the first time you find them, Hercium species, Chantrelles, Puffballs, but there are others that are going to be harder, it's no big loss, there is always next year. When it comes time to eat a mushroom, edible or interesting, it will be time. Waiting is.
It is VERY dangerous to go out looking for a specific mushroom when you have never seen it before, ESPECIALLY the active ones. it is very easy to find mushrooms that match a specific description, to overlook that one feature that would point out that it is in fact dangerous.
Inpatients will kill. There is always next year, unless you die.
as for those mushrooms you posted, the second looks a whole lot like a small, old, dryad's saddle, one of my favorites to cook.
As for going online for ID. Make sure you have GOOD pictures, if they are blurry or over exposed, they are useless, they should show the tops, the bottoms, the undersides, the size, details of the pore surface. Include info on the location they were gathered, the type of tree they came from, or if they were on the ground (make sure they are in soil and not on a buried branch), spore print, I can't stress enough the importance of spore prints.
Mushroom hunting is a course of study, it take a lot of time and dedication if one wishes to do it for long.