> and activate the new 60 day grace period to find a new job.

Just FYI, this 60 day "grace" period is a bit of an unspoken rule, in reality though, you're expected to leave the US as soon as your job is terminated/visa is revoked, so make sure if you can that the terminating company doesn't revoke your visa within 45-60 days, or else you'll be in a lot of trouble, even if you find a company willing to transfer your visa in that time period.