I have an AT&T iPhone. Should I get AT&T or VZW iPad 3?

[Chriš]

Verizon has LTE coverage in my area, ATT does not. So I was going to go with the Verizon iPad. But if I get the ATT version, would I be able to use my ATT SIM with it (with unlimited data)?

[KingOfBling]

AT&T DATACONNECT PLANS
Email, surf the Web, and stream movies and music. No long-term contract required. Includes FREE unlimited Wi-Fi connections at over 29,000 AT&T Wi-Fi Hot Spots nationwide! Plans available with purchase:250MB data$14.99/mo.3GB data$30.00/mo.5GB data$50.00/mo.

If im not mistaken you need a sim thats specific for the iPad.