Don't know if this works, but sounds like it will. Before you start, get a journal and document your daily routine counting calories you currently eat and the exercise you already do for a week or two. Then, go online and search BMR calculator, which will give you your Basal Metabolic Rate (basically what you'd burn if you did nothing all day). You then take your BMR number and multiply it based on your current level of activity (Harris Benedict Equation, generally found on the BMR page or a link somewhere) to give you an idea of the number of calories you need to maintain your current weight.
Now you can adjust your intake without completely starving yourself and add some exercise without wiping yourself out. 1200 calories may be too few calories depending on your body, this gives you a number that may be easier to achieve and, more importantly, easier to maintain for the long run. It may not be completely accurate, but it gives a general guideline to start with and adjust as you go. You may find out that your intake is fine and just adding 10 minutes of exercise is enough for you to lose weight.
One good way is to juice your fruits and veggies. You digest liquids faster, so any exercise you do goes straight to your body. Plus, by reducing them to liquids, you can take in way more veggies and fruits than you normally could.
Also, if you don't like traditional exercises, figure out what intrigues you and do that. I get bored doing tradition exercises. However, playing soccer or volleyball gets me moving. And I can do Just Dance or Dance Central for hours without noticing how long I've been going. You don't have to just walk or just run to lose weight, you just need to do something that keeps you moving.
Don't expect to lost immediately. I went up 10 pounds before things starting going in the other direction. Consider weight yourself once a week instead of every day at first so you don't get discouraged at the lack of progress.
Get others to do it with you. It is so hard to lose weight when others keep tempting you with treats or when they are watching your favorite show while you have to go for a walk.
Cut back on alcohol if you drink it. It's mostly empty calories with little, if any, substance.
Give yourself a snack. If you want ice cream, have a small bowl of it. Totally cutting out those things can make you upset about doing this "diet," which makes you less likely to want to continue.
Plan meals if you don't already. It's really frustrating to want to eat something and yet you have nothing in the house but a bag of potato chips. Either make and freeze some food or figure out a few different things you can make with certain ingredients and make sure to pick those up when you go shopping. I don't know about you, but I'm more incline to have a salad if I don't have to cut up everything for it.