You don't need benches and dumbells and all that fancy stuff to excersise and lose weight. You can lose a few pounds every week with just a few simple exercises 1-2 times a day.
Depending on what you want to lose, I would recommend crunches, running, riding a bike, push-ups, sport (like football, netball, soccer, tennis, gymnastics, etc.), air bike. If you ask at a gym somewhere they might be able to tell you a few more excersises.
Just remember to warm-up and stretch first.
Good luck!