While you are in between jobs, you should also be sure to stay insured. Your company will offer you COBRA health insurance. You should read all the information they give you about COBRA insurance, know the monthly cost which you will have to pay, and know the date by which you will have to elect to receive (and pay for) coverage.
I have found that it is beneficial to shop around for health insurance. Firms such as Assurant, Cigna and Blue Cross/Blue Shield all offer individual and family plans---Assuming you don't have significant preconditions, these firms will likely offer you a lower price than COBRA, and they offer you the opportunity to raise your deductable to further reduce your monthly premium.