The following if for you to make decision

1. You don't own H1, your companydoes.
2. You lose status at the moment of leaving the current company.
3. H1 transfer needs your last pay slip from the previous company. Better find a new company and file H-1 transfer before leaving.You can work for the new company right after receiving the receipt of the H-1 transfer.
4. In the past, INS allows a brief gap of one or two months for not-at-fault cases (lay off). They may be very tough on your case.