There is a huge market for home exercise videos right now, from the 10 Minute Trainer to Insanity to PDX 90. Some are really way beyond what the normal person should start out with - you're risking some serious consequences. A dancer for 10 years, I am all too aware of injuries from not training properly and some of these videos should be down the list for when you are back in shape and want to take it to the next level. I personally feel you also need to have some body awareness. If you don't know if your weight is over your heels when requested, if you don't know how to keep a pelvic tilt to protect your back and if you don't natually keep your knees over your toes when you do squats, lunges and plies; then you REALLY need to be careful to start with a very simple DVD that moves slowly and clearly reinforces these important details. And don't be fooled by those that claim you can have significant change in 10 minutes a day - not going to happen. You need that cardio sustained over a period of time. I think 40-45 minutes is a good start and can be worked into most lives.
Another thing I like is the hand weights. They are small 1 pound bars with 1 pound weights that screw on each end and hand straps. What I personally recommend is making a set with just 1 weight on each side and a heavier set with 2 weights on each side (the weights screw into each other). This will give you a 3 pound set and a 5 pound set that will fill most of your needs. When you need more than five pounds you just use the straps to grab 2 weights in one had. The negative - the kit I bought came with 4 hand bars, but not enough weights to make the required combination - maybe why it was on sale. To make the right combination you need 12 weights - and the above photos shows the kit as having 12 - but I would confirm that as my kit didn't have enough.