Saving for the future

I have been thinking a lot about saving money because boyfriend and I have no savings at all and if anything ever happened to our car or anything we would be so screwed.  I have been researching online and found that I’d like to start a high interest savings account with SallieMae.  I think it’d be a great idea to just have $20 or so automatically deposited every paycheck and we’d never even notice it.  Also I was thinking any spare change we have we can stick in a jar and every month, add it to the account.  I just worry so much about our future.  At this point we will never have money for a new car, a home, or even a wedding if we decide to get married.  I think this is a really good idea.  I think I’m going to talk to boyfriend about it tonight.  I don’t really see a downside to it.