Moving VMs from one data center to another while keeping the same IP addresses

Hello, we are reducing our data center footprint and have the following wish list. The reason we want to keep the same IPs (if possible) is that it will reduce the risk of application errors because IP addresses are hardcoded. I'm starting to gather information on whether the steps below will be possible, and the best approach given what's in play.

We plan to do the following (if we can make it work):

• Convert physical servers to VMs in DC1, keeping same IP
• VMotion VMs one at a time to DC2, such that the same subnet would be active in both DC2 at the same time.
• When the step above is done, we'd remove the subnet from DC1.

Facts about our network

• MPLS WAN between data centers. WAN routers use OSPF to advertise their subnets.
• Core routers are firewalls in routed mode, also participating in OSPF.
  • This means no secondary IP address for servers from DC1 that will serve the same function as servers already in DC2.
• We use VMware for virtualization.