I heard somewhere that running first thing in the morning before you eat is the best way to burn calories. Not sure about the calories thing but running is the best exercise imo. I started running a few years ago to get in better shape and lose a few pounds. Tough to get started but has worked out well for me. No need for gym memberships or any expensive gear.
I don't think things have to be complicated with special diets. Just limit things like sugar drinks or beer, eat more fruits and vegetables, smaller portions, and don't have junk food in the house. Pack your lunch and rarely go out to eat. Helps save money, too. I cook and have three kids to feed. I'm no gourmet chef but not hard to find things that everyone likes that's on the healthy side.