The general play rules for these games are the same as NL Hold'em, it is the betting rules that vary between the games.
Limit Hold'em
In Limit Hold 'em, each betting round has a fixed bet. In $5/$10, the small blind is $2.50, the big blind is $5, and the first two rounds of betting are in increments of $5. The last two rounds of betting are in increments of $10. There is generally a maximum of three reraises per betting round. Some locations or home games allow unlimited raising during the last round.
Pot Limit Hold'em
In Pot Limit, a player can bet any amount from the minimum bet to the size of the pot. In a $5/$10 pot-limit game, the small blind is $5 and the big blind is $10. The first poker player can call the big blind (in this case, $10), or raise to any amount up to the size of the pot. A raise must either equal or exceed the previous bet or raise. In this case, a pot-sized raise would be $25 ($5 small blind + $10 big blind + $10 call), meaning that, in total, the next player can bet up $35. Supposing player three makes a pot-sized raise, the total pot is now $50.
If the next player wants into the hand, they must call $35, which is the size of player three's bet. If they want to raise the maximum, they would bet $120, which equals the size of the pot ($50) plus a $70 raise ($5 call + $35 raise).
No Limit Hold'em
In No Limit Texas Hold 'em, a player can bet any amount from the minimum bet to the maximum number of poker chips they have in front of them. As in pot limit, a $5/$10 No Limit game means blinds of $5 and $10.