Well, I've finally done it, I've pulled the trigger and switched the DNS for newlisponrockets.com from the old server to the new one.
Everything should work the same, only the new server is a lot faster.
I set up the old server in 2013. It was a t1.micro instance on AWS, which is no longer supported by Amazon. The new server is a t3.nano, which is cheaper yet faster. Ah, technology!
Please let me know if you have any problems with the new site.
EDIT: One thing that is different with the t3.nano is that it has slightly less RAM than the t1.micro instance. I also run a MySQL server on this box and I may need to play with some settings. So if you see an "out of memory" message this is what has happened.
Why use such a small server? It's a good way to test how well Rockets runs given hardware constraints. In the future I might upgrade to something beefier. It's also a way to show off the power of Rockets! For example, this page rendered in 6 milliseconds. That's pretty impressive!