Hi rovertweed,
I had a look at your bio before offering some thoughts for you to consider, the skipping may not be ideal to start with as it may cause you a bit of leaking due to the jumping up and down action. Also skipping may not be particularly good for your knees unless you wear good supportive shoes.
Gym membership can be bought quite cheaply at the moment due to the number of gyms competing for members generally. I was paying £50 a month at a health club, lovely kit, lovely fluffy towel given to you on entry, built in TV and radio and internet on the treadmills, beautifully tiled showers etc, a real chrome and carpet gym but with some serious kit. Having moved I am now paying £20 a month at a local authority gym, somewhat scruffy kit, bring your own towel, grubby showers. Hey ho, it works for me as it has all the kit I need. So you could join a gym for comparatively small amount, not any long term contract, then you might benefit from a personal trainer who would assess your needs and abilities and maybe devise a programme for you?
The issue with starting out from scratch, and forgive me assuming that you are not an ardent experienced fitness regular, is that without some quick results, which may well be achievable, you may get disheartened and lose the will to go on.
So, I would suggest looking at a local authority gym to get you going, with some personal trainer input to give you some ideas initially.
If you choose not to do that then I would consider what can you do that would be "low impact", does not jar you or your bones. Low impact = walking, swimming, rowing, yoga. High impact = road running, pounding feet on the pavement and shock transmitted through the feet to the ankles to the knee joints and hips.
Do you have any space at home for a treadmill, somewhere you can use it and watch TV or a DVD to while way the time? Tat way you get some exercise and keep the mind occupied?
What do you enjoy doing? Swimming is one of the best all round exercise, but if like me you swim like a house brick, that is not much fun.
So, if you want to lose weight, apart from diet you may wish to consider the rate at which you will exercise? What is you maximum heart rate? To work this out deduct your age in years from 220, it is not an exact science.
To lose weight, burn fat you need to be exercising at around 60 to 70%. Google "fat burning exercise heart rate", and you will see lots of information. You do burn fat working at a higher heart rate, working harder, but not so much fat.
Anyway, enough, I hope that this is of some use to you. Oh, and I once had a bullworker. LOL. On that building muscle is no bad thing, maybe you don't need to maybe you would like to? What would you airfare? At our age we none of us are going to be busting our shirts sleeves or bursting buttons any day now no matter how hard we train. ;-) I have no qualifications on training or diet, but at 57, having been training/working out for around 37 years and still reasonably fit I must be doing something right.
atb
dave