What is the best way to increase FICA score after paying off current and delinquent debts?

We have very low FICA scores. We have payed off all of our deliquent debts and have no current credit card debts (all paid). Now we have the ability to put aside almost $ 600 to $ 700 aside every month for savings. We want to work on increasing our FICA score. What is the best way. We want to start putting funds in our saving account but we have heard that the best way to increase our FICA score is get a significant loan, such as a car loan, and start servicing that debt. Your advice would be helpful.

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