Hope you find a new homeworld. I mean data center.
It should be fairly seamless. I'm sticking with the same host just moving to one of their other datacenters. The company they contract with for this datacenter just doesn't seem to understand the concept of actually providing power. Every downtime but one we've had has been power related, and every single one has been because of their UPS(Uninterruptible power supply) failed. First we had was a power outage in the area and their UPSes failed to actually switch over. second time their UPSes just died for no reason, third time they moved us to a new system because hardware was damage, fourth time... You guessed it! UPS failed again.
I'm going to try to do this on the weekend, hopefully while everyone is asleep to avoid interruptions as much as possible. The biggest portion will be DNS updates as the IP will change.