First off, you don't "save up money to pay off a credit card"; the way you pay off a credit card is first by attempting to get the interest lowered as far as possible (good luck with this nowadays), and then making payments to it larger than the minimum - much larger (triple the minimum is a good start). Another trick is to send in half of this payment twice a month (every two weeks, roughly). This drops the principle and ultimately the interest that acrues each month. You won't make any friends with the credit card company, but that isn't the point.
If you really want to become financially independent - follow this guy's advice:
Dave Ramsey Homepage - daveramsey.com
Don't buy into the consumerist trap, and you'll be better for it in the long run. Do you have a new car with a large car payment? Drop it, and buy a well-running used car if you can. Stop buying extended warantees. Learn to "ultimate recycle" by donating used items to places like Goodwill - and shop there too! Look into freecycling. Learn to dumpster dive! You'd be surprised at what people throw away that can be turned into useful stuff and/or resold for profit. Its crazy - its the consumerist trap!
Don't cheap out on your food - but your spending for food is pretty high, there. You need to cut the alcohol out - that seems like a large amount to me, unless you are buying all top-shelf stuff (or are you an alcoholic? Not accusing here, but if you are, only you can say and be honest with yourself). Think about stocking a pantry, and maybe a chest freezer (lots of meat - for muscle mass building you want protein anyway, right? But then again, I'm a fat slob). When buying food and other groceries, shop on the edges of the store, and high and low on the shelves. They put the expensive stuff in the center mass of the store, where you will likely see it; don't fall for the ruse (the exception here is the cereal aisle, where the expensive sugary stuff is at eye-level and lower for kids, of course). When purchasing products, learn which products are "generic, but great quality" - many manufacturers make "store brands" and such that are the same as their "name brands", just with a different and cheaper label. These general sell for less (but not always!) but are just as good of quality. Be smart about your shopping.
Also, learn to use and clip coupons; learn to anticipate sales (for instance, good meat sales happen before labor day, usually - unfortunately, you just missed it) - there's also seasonal variation on meat and other grocery sales (depending on when animals are brought in for slaughter, etc). Learn to anticipate these, and apply your coupons properly. Some items can be bought cheaper in bulk, so keep that in mind as well (rice and beans are two very cheap items that are good for you, and cheap in bulk).
Finally, when you cook, don't throw away leftovers! Eat leftovers for lunch (or dinner) the next day; learn to recycle leftovers into another meal (say you make chicken one day, grilled, but you have some left over - use it for a grilled chicken salad the next day, and if there is still some more, chop it up and freeze it for a future meal). Oh - and when you freeze stuff, mark it on the outside what it is and when you put it in; use older stuff first.
Save your plastic containers, too (to put stuff in for freezing and/or leftovers in the fridge). Much of the plastic containers (and other plastic packaging) that we throw away is perfectly fine to keep and reuse multiple times; this is another consumerist trap (buying plastic to throw it away). Oh - and if you are using paper plates, plastic utensils, etc - STOP! Buy a set of dishes and some silverware, and wash it. The best place to buy this stuff is used from garage sales or thrift stores! Just bring it home and wash it well using a dishwasher or by hand. You already eat out at restaurants, so using dishes and silverware that others have used isn't a problem for you.
All of this will save you money, and eventually get you out of the consumerist trap you are in. Only you can keep yourself out of it once you are out (another good way to keep yourself out is to quit watching television - really!)...