Although not as popular as it once was, Limit Hold'em is still widely played all over the world and online at PokerStars. It's a great game for beginners, as the risks are lower than in No Limit Hold'em, plus the skills you learn in Limit can be useful when moving on to play other poker games.
Real money online poker is not legal in Texas, but Texans have an alternative option to satisfy their poker itch. Sweepstakes poker is legal in Texas and allows players to win cash prizes without being classified as real money poker. One of the best examples of a sweepstakes online poker site is Global Poker.