You might first want to consult with your manager or the corporate admin to
verify if this confirms with your corporate policy. Most companies are not
too thrilled about redirecting corporate email to private accounts. If they
want you to be able to read corporate email at home or somewhere else other
than at the company, then they are a lot of options available which are much
more convenient than what you are trying to do. Ask if they have something
in place already.
That said, you can specify to forward it as an attachment as well when you
want it to do it by a rule.
A better option (if you want to go for forwarding) would be to have your
admin set a direct redirect on your Active Directory User Object on the
server. Then the message will arrive like a normal message with the
recipients intact.