First of all, ask yourself, what type of equipment will be needed to optimize your workouts at home? It will depend on your healthy and fitness goals. There are two main criterias you will have to focus on.
You may want consider to have weight lifting equipment if you are targeting in building, shaping and toning muscle. Purchasing a complete home gym equipment might be the easiest way to obtain a full set of weights. This will definitely give you the necessary tools for a full body exercise.
Next thing is you may need some kind of aerobic exercise. Elliptical machine is a very popular choise these days. It is great on overall because it will give you a low impact, high intensity workout and easily be used by any person regardless their fitness level. Other popular choices by many people would be recumbent bikes and treadmills.
You will find many people will satisfied with those two items, however, you could consider adding a set of free weights to make sure you get the optimum output from your workout. Many easily added dumbbells to any workout in order to increase the intensity and work their muscles best. The resistance trainer is an additional great tool to build up your muscle flexibility.