But the thing is, how would anyone know if they can afford it or not if they don't ask questions? People on here are all the time criticizing folks for not researching and planning, and then someone comes here to do just that and people want to tell her to forget it.
Back to the OP. You have gotten some good advice here on ways to stay on a budget. As others have said, food is probably the biggest variable you have. You may be able to find some deals on the other aspects, but the food thing can vary greatly. That is where you can really save money, or blow the budget. Do you eat out much normally? We do not, so a couple nice meals is a real treat for us. Our first trip we went to Crystal Palace for a character dinner and Le Cellier (before it was so wildly popular) for another dinner. That was it and we were happy with that. Don't make the trip about the food and you can save a bundle. My kid usually has to be told to eat when he is excited and busy anyway. Keep it simple.
Hope you are able to make this trip and that you have a great time. Don't rush it. Planning is half the fun!
Aside from the PP who stated that it will run about $3K to get the kind of vacation the OP wants, I'm not seeing too many actual numbers being thrown out there.
Fact: 1 adult 5-day base ticket is $323.76 (with tax). The children's tickets are $302.46.
Suggestion: Buy from someone other than Disney to save a few dollars on each ticket.
Suggestion: 3-day base tickets would be $291.81 and $271.58, respectively. Save a few dollars and plan "down" days in between.
Fact: Even during the slowest period, a Disney Value Resort is $96/night (plus the 12% hotel tax). This is the rack rate during the week, during "value" season in January.
Suggestion: Look for a discount rate, which will get you between 5%-15% off of the rack rate of a Value Resort.
Suggestion: Go during *free* dining so that even though you are paying the rack rate, your will get 2 meals per person per day included in that price.
Fact: Airfare is expensive. No two ways about it. Expect to pay around $200+ per person.
Suggestion: Check the prices from more than one departing airport.
Suggestion: Use a price-tracking website like Kayak.com to determine if the price you are seeing is likely to go down.
Suggestion: Get a rewards credit card that gives you bonus miles for signing up so that you can get free flights. Not a good suggestion (IMO), given that the OP's income is so low that she is not likely to be able to meet the spending requirement to get those bonus miles, even if she were to qualify for the card.
Fact: There are no discounts on Disney food unless you are a privileged member such as a DVC owner, FL resident who purchases a TiW card or an AP holder. Expect to spend about $10-$15 per adult CS meal and about $6 per child's meal.
Suggestion: Check the menu prices on allears.net to see what you can expect to pay for food.
Suggestion:Share meals. Ask for ice water at CS locations.
Suggestion: Pack non-perishable breakfast items in your luggage so that you can eat in your room.
Suggestion: Get a Target debit card and use it to buy Disney gift cards at a 5% discount so that all of your OOP cost for food is 5% less than the posted prices.
Suggestion: Go during *free* dining.