would beat Jacks and Nines
Three of a kind
This is when you have three cards of the same rank, for example, Trip Jacks:
Straight
This is when all your cards are in sequence. Remember that an Ace can be played high or low. Straights are ordered by the top card in the sequence, so a Seven-High Straight: 
would beat a Five-high Straight:
Flush
A flush is when all your cards have the same suit. For example, a King-High Flush:
Full house
A full house is when you have three of a kind and a pair. They are ordered first by the rank of the three of a kind, so Nines over Deuces:

would beat a Sevens over Kings:
Four of a kind
Just like it sounds, four cards of all the same rank. This is the second highest hand type in poker so it is pretty good! Also known as Quads. For example:
Straight Flush
The best hand type is when all your cards are in sequence and they are all the same suit. These are ordered by the top card in the sequence, so an Ace-High Straight Flush (known as a Royal Flush) is the best possible hand in poker: