Forwarding Text Messages

I am a total novice with respect to texting - and we have just recently upgraded our AT&T Wireless Family Plan to include texting. I have both a personal cell phone (an AT&T Windows Nokia 920) and an employer-furnished work cell phone (an AT&T iPhone 5). Typically, I have my personal cell phone number set to auto-forward all calls to my work cell phone, so that I only have to carry one cell phone to receive calls sent to either cell phone number. This works fine for all voice calls to my personal cell phone number, regardless of whether my personal cell phone (usually left at home) is “on” or “off” (usually left "off"). My question (as I understand that “texting” sends messages to one’s phone number) is: with my personal cell phone number’s “auto call forwarding” enabled, are text messages sent to my personal cell phone number also supposed to be automatically forwarded to my work cell phone?  This doesn’t seem to be happening. Is there a way I can enable it? Thanks.