Open up an online savings account for every member of your family. (I like ING because there are several ways to make money just by opening accounts.)
Link it to an existing bank account. This will take a couple days because you will have to verify your accounts and confirm deposits.
Create an automatic schedule of transfers to your account. Can't afford it you say? What about 50 cents? Already saving? Increase your savings amount.
Something will always be better than nothing. You will be surprised at how much you can put away. Challenge yourself over the upcoming months and watch your fortune grow.