There are many ways to score points in Cribbage. You score points by bringing up the count to 15 or 31 or by making scoring combinations. Here are a few tips and tricks to help you on your way to winning!
When it's your Crib, fill it with cards that are likely to make scoring combinations - such as a 5 and a face card, or a pair.
When it's your opponent's Crib, fill it with cards that are not likely to make scoring combinations - such as various cards in different suits. Avoid sending cards that could add up to 15, like 5s.
Since Kings and Aces have the least chance of making Runs, they are OK to send to your opponent's Crib.
The really big points are in combinations of combinations that are scored during The Show. Try for real doosies like Double Runs - a Run in which two of the cards are also pairs. This gives you 8 points. And a real masterpiece is the Quadruple Run - a Run in which 4 of the cards are also pairs. This gives you 16 points!
Avoid starting a play with a 5 or a face card, because that could allow your opponent to raise the count to 15.
If you have a pair, try leading with one of the pair. If your opponent plays the pair, you can score Pairs Royal (3 of a Kind).
Hold onto 3s, 2s, and Aces until the end of the game so that you have more chance of keeping the count under 31.
A 4 is considered the optimal leading card, since it prevents your opponent from bringing the count to 15. Leading with the 4 allows you to keep your low cards until later in the hand.