Start with a good warm up, and then get into some type of resistance training. I’d suggest resistance training in circuit fashion to maximize your time. Resistance training will boost your metabolism and help your body burn more calories throughout the day, leading to fat loss (weight loss).
Doing something physically active that fits your budget and that you enjoy enough to continue to do at five days a week, OR Doing something intensely active for 15 minutes, and using the rest of the time to improve what you eat. What you eat is 80% of weight loss; exercise is good for everything except actual weight loss.
From an exercise standpoint keep it simple: pick up and carry heavy weights. Rest. Repeat. Deadlifts, squats, and heavy carries will be your friends. Find an experienced coach who can teach you the movements safely and effectively. Eat more veggies, sleep an extra hour, drink plenty of water.