All of the configurations depend on what you decide with your Service Provider. Usually they will setup a RJ45 connection at your locations. Unmanaged MPLS connections require you to purchase, configure, and maintain your own routers.
EIGRP may not be possible unless the ISP provides that option; the ISPs configure their own routing using BGP. Work with your ISP on the routing, but they may not be very helpful, so static routing may be a simple solution.
Let me know if you need any more information.