The best way to handle losing streaks in a multi-hand game is to remain calm and avoid emotional decision-making. It's important to stick to a predetermined strategy and bankroll management plan, resisting the urge to chase losses by increasing bets. Taking a break can help clear the mind and refocus, allowing for better decision-making. Reflecting on gameplay to identify any errors can also be beneficial, ensuring that the approach remains disciplined and strategic despite the setbacks.