.NET Standard will be the future, so if you can you should get on board now.
But be aware. If you're planning on using NuGet packages you could run into the situation that a package (or library from another source) does not support .NET Standard yet. Or the other way around is true as well. There are libraries that only support .NET Standard as of now, so you should either install an older version (with all the risks that come with it) or find an alternative path.
Also note; a lot is happening now in .NET Standard (and Core for that matter) land so be prepared for bugs, rough tooling and not all platforms being supported just yet.