Having support is very important with weight loss. If everyone can get on board, it will be easier to achieve your goals. Talk to your family (or friends, roommates, etc) before starting your diet and let them know your plan. Explain why you are making this decision and ways they can help you succeed. Even if they do not change with you, that's okay! Go forward with your plan! They may decide to join you once they see you succeed with weight loss.
In a way, moderate-intensity physical activity is that "magic pill" a lot of people are looking for, because the health benefits go beyond keeping your waistline trim: Not only can it reduce your risk of cancer, stroke, diabetes and heart attacks, but studies have shown that physical activity can significantly improve the moods of patients with major depressive disorders.