How can I move my Minecraft installation to another drive?

Probably the best and safest approach - with some side effects, although IMO beneficial ones - would be to use MultiMC. It's an alternative launcher that helps managing multiple instances of the game - it's especially valuable when you play modded, as you can have many conflicting modpacks, various versions in non-conflicting instances, no risk of corrupting your worlds by opening them with wrong version, plus it makes installing mods a breeze - but even if you play pure vanilla, it's still helpful, allowing you to keep worlds separate between different versions. The only actual downside is a bit of extra hassle when upgrading a world to newest version (create a new instance, manually copy the save from older to newer), but it's very helpful in a lot of other respects, and can be installed anywhere. After installing and creating the instance of game matching the version you play, from the instance menu choose 'open instance folder', pick .minecraft, saves, and move/copy your world from %appdata%/.minecraft/saves using Windows Explorer.