As noted by many others, $2000 is not enough for a down payment. Not sure what housing goes for in your area, but lets use an example to flesh out your thinking. Say you have a starter house at 150,000. You will need to have at least 10%, almost certainly 20% down. This is $30,000, unless you secure some other source (VA loan guarantee for zero down, or mom/dad co-signing). If you have been saving for a year or two, that means you will need another 14 years to save the cash for a down payment, unless you really work at saving. Short term answer will have to be "RENT", keep your expenses as low as you can (cheap cars, small apartments, budget well, etc).
While you save up, look into buying. Good news is you have a few years to learn while you are saving. Real estate and rental properties are a very common, and in my experience, good way to build up wealth. Your first house should have considerations of eventually renting out to someone else when you move on, i.e. buy it to live in it for a few years, but plan on renting it after you move on.
Your first house then, will require you to read up on buying, but also on renting out property. Often, you can cover the mortgage with the rent you receive, even if you have to pay a management company to do the day-to-day stuff. Don't be in a rush to decide, you have a while before you are capable.
Plenty of books, and experts out there to learn from.
On to the question that needs answering, even if you haven't realized you needed to ask it:
Use some of the money you have saved, sit down with a financial planner, and plan out everything else. A house, like any investment, should be part of a coherent financial plan. This may cost you a few hundred dollars, but they will be able to help build that plan in a way that will save you from making costly mistakes. Think of the funds you pay the financial planner as an investment in yourself, and your own financial understanding. THAT is your far more immediate need that I see, and the single most important investment anyone will ever make. Once you get a well advised plan and some financial education/understanding, the house buy/rent decision will take care of itself.
Hope that helps. It is the advice I am teaching to my own kids, who have the advantage of having an accountant and finance/economics nerd for a dad. :)