Consider sending your child to a public school. There is a lot of money to save there.
I am not really impressed by 13 weeks severance after 13 years of employment. But never mind, maybe it is different in the US.
It could be a good opportunity for you to take some time off. But when looking for another job, it is so much easier if you are still in a job. Maybe you should try to find another job before the end of February? As long as you get paid by them, you can say that you work there. And then take a vacation before you start in the new job.