My budget is currently tight but actively growing. I don't plan on shooting until mid June so i have time. My most liberal estimate is between 2 and 3k dollars and that will have to be split between cameras, lights, sound, props, with maybe 2 hundred for pop up expenses. I know I'll need lights and mics but I'm honestly pretty ignorant of it all so I'll be up here asking questions for a bit.
@ZolaScope don't worry my film is being written with price in mind. It takes place in a poor sector of the country during a dystopian future. Costumes will be torn clothes and it takes place mostly outside so lots of natural lights.
Two or three thousand dollars can be a week, or even a couple days of filming depending on the project. When I read that you need to buy "cameras, lights, sound, props, and other expenses" with this money, I just read "money, money, money, drained." Be very careful with how you work with this budget, and take into account your post production work, which may be considerable, given your genre of choice.
I second the notion of the DSLR, and I'd suggest a Canon T2i or T3i. Personally, I think the T3i is a wonderful start-up DSLR that can really get you going and learning how to use a DSLR. Keep in mind DSLR = interchangeable lenses, so make sure you allocate that money if you need broader or longer lenses. I'd look for a DLSR used or refurbished, I know I have a buddy who just got a T3i refurbished very inexpensively on eBay.
As for mics, look into shotgun or boom mics that don't break the bank, I recommend the Rode VideoMics. Keep in mind you shouldn't funnel that sound into the T3i, or any other camera, even if it does have a mic input. So get an audio recorder the mic can go into. I use a Zoom H1.
As for lights, and I could absolutely stand corrected on this information, but I've had a decent success with halogen work lights to light scenes, and occasionally using some diffusers for them. Obviously, this is a very low budget solution, but, at a budget between two and three thousand, spending five hundred dollars on lights could be detrimental to other aspects.
What I've learned from my no/low budget filmmaking, is make sure all of your gear evens out. Don't blow all your budget on a great camera if you can't get good sound for it. Find a way to get a good camera that you can afford good sound for. And that goes for everything else as well.