In Crazy Pineapple, the key strategies revolve around controlling your hand and managing the risk in each round. Initially, players are dealt three hole cards, and after the flop, they must discard one card, leaving them with two. The strategy involves understanding the strength of your hand after the discard, reading the board, and gauging your opponents' hands based on betting patterns. A strong position is often maintained by playing aggressively when holding a strong hand or by bluffing when the situation allows.