Project management methodologies include Waterfall, PRINCE2, and Agile. Waterfall follows sequential phases from conception to maintenance. PRINCE2 provides steps and team roles and can be tailored for different project sizes and sensitivities. Agile uses iterative development and emphasizes flexibility, customer input, and non-hierarchical leadership. The most important skill for a project manager is flexibility, as they will work with diverse groups and respect for people is important for overcoming hurdles.