That is called a "Walk"
A rounder is a semi-pro or professional player who makes a living or a significant amount of their income from playing poker.
Mucking a hand is "poker language" for folding your cards, this is often said when a player lost on a showdown and does not wish to show, he mucks the losing hand. Another similar term is the term "Into the muck", this is basically saying people fold their cards, often used in poker shows to indicate a player folded.
There are all kinds of terms poker players use when running out of money. You get busted, you get felted, you gone broke etc. Of course more terms are used, but these are the most frequently used terms.
The term poker edge can refer to either the advantage that a player has in a hand or to the actual player, in regards to when playing a game of poker.
It means you pass, if all players check, no bets are placed and the game continues. If a player bets after you check then you have the option to call, raise, or fold when it is your turn to bet.
I could not find any famous poker play with ace in their name. Though I'm sure if you scour the tournament results you'll find several online players using "ace" in their name. In poker slang there is the term "Busted Aces", which I'd suspect somebody is using for their name already.
Nasolabial fold. The epicanthus is a fold at the eyelid.
ace
Poker payoff is the term used when you make a call on the last betting round where you think you are likely beat.
A pocket snowman is a term used in poker, particularly in Texas Hold'em where the players keep face-down "hole" or "pocket" cards. A "snowman" is poker slang for the 8 due to its shape, so a Hold'em player having "pocket snowmen" has a pair of eights face-down in front of him.
A CAP is a term used when the players can only bet until the pot has reached a certain amount. If for instance the CAP is $50, then no more then $50 per player can be bet in one round.
"Up the ante" is a poker-derived idiom that means to raise the stakes, to put more at risk, both in poker and in one's personal life. The ante is the enforced bet that poker players must put into the pot before they can play a hand of poker. If you "up the ante," you increase the amount of the bets. Thus, upping the ante means to raise the stakes or increase the risk of a project. You can "ante up" any amount - some people play for pennies, and some for thousands of dollars.