I take it that you are in College from your description. Thus, I recommend finding something that is related to the career you are pursuing. You may not make as much money now. But, it will increase your chances in getting a better salary after you leave college.
When you hire on with a company negotiate as much as possible. Ask for things like moving expenses, sign-on bonuses, tuition repayment, etc. The sign-on bonus is great way to make some capital after college.
As far as trying to save enough for a home. Well, it will take more than just a good down payment. The mortgage companies will want to see that you have been working somewhere for at least two years. You can possibly avoid this by having your parents or someone who trusts you sign as a second guarantor on the loan.
Also, if this is your first home you can qualify for a first time home buyer rate. Typically, the rate on a first time home is around 3-5%. So 3k would almost be enough.