[read Basics & Rank of Hands first]
More basics of how to play Texas Hold'Em.
The hand you hold is described by your two hole cards plus the board. We usually just refer to the ranks of the cards, since the suit doesn't matter except for making flushes. So if you have an Ace and a King in the hole, you have AK (known as "big slick"). If the board has a Ten, a 5 and a Jack we would write T5J. Usually we order the cards from highest to lowest, so we write AK instead of KA. We also use "o" to mean "offsuit" which means the two cards are of different suits, and "s" to mean suited, so if you have AK both of clubs, we would write AKs, which means "Ace King suited". Any time your two hole cards are of the same suite, we call them "suited", which means you can make a flush with them if three more of your suit come on the board. Sometimes if your Kicker doesn't matter we'll use an "x", as in Axs - that means "Ace with anything, suited", so any hole with one Ace is Ax. Similarly Kx is any hole with a king. A hole like 33 is a pocket pair, and it's always offsuit, since you can't have two of the same rank and the same suit. Described this way, there are 169 possible holes (13x13), since there are 13 of each rank; you would divide by 2 because AK = KA, but then you have to multiply by two because there's AKs and AKo.
Pairs are by far the most common hand on the flop, and the flop is the most important round. You will be playing high-card holes, like AK to try to flop good pairs. We have special terms to refer to the possible pairs on the flop. With 3 different ranks on the flop (eg. no pair on the board), you can have "top pair" (a pair made with the highest card on the flop), or "middle pair" or "bottom pair". For example, if the flop is KT5, if you have K2 in the board you have "top pair". Your "kicker" is a 2, which is weak, so we would say you have a "very weak top pair". If you have JT you have middle pair.
If you have a pocket pair, its value is also relative to the 3 ranks on the board. If your pocket pair is higher than all the cards on the board, you have an "over pair", which is very good. If your pocket pair is under the board, it's an "under pair" which is very bad. If you have two cards over the board, they're called "over cards"; it means you have no pair, but you have 6 good "outs" against a pair. If you believe you're up against a pair, it's almost always one of the 3 possible pairs on the board, so you can assume your over cards are good.
The cap, the all-in option heads-up; how the cap affects play
The rake, how it affects play
A "monster"
Bet "the pot"
"slow playing"
Check-Raising
Your choices - {FCR} or just {CB} (fold/call/raise) or (check/bet)
Flush Draw
Straight Draw
Gut Shot, Double Gut Shot
Draws, Runner-Runner, Drawing Dead
Live Straddle
All-in chip counting, side pots