Some pretty good general advice there. Running is great. Some people are all about cardio, others all about strenght, I think you need both, and they work well together.

Both an intense strenght workout and a nice jog can burn lots of calories. Strenght training builds more muscle which burns more in the long term. Running (depending on intensity) burns a bit more during the actual exercise. Strenght training helps your physique more with muscle, but running increases your cardiovascular endurance, allowing you to do real-world things like play sports or hike or swim much longer without getting winded.

Long story short: Do both, they both have unique benefits, and work well together.