Installing the new meter would require that they shut off the mains power for up to an hour while they installed the new meter. They didn't give a specific timeframe for this, just "oh, sometime in the next few months". So I've made sure that I don't have anything running on my home server that would be adversely affected by an unscheduled power outage. But that's really all I could do.
As it turns out, I got a cold or something this week and am home from work. A few minutes ago some guys knocked on the door to let me know that they were installing the new meter today! So I had a chance to gracefully shut down the machines here.
I also had a chance to clone the git repositories for stuff I was working on at that moment, so I can continue to work on code on my laptop without missing a beat.
Looks like they're done now, the power is back on.