Get the "Photography Plan" which includes Lightroom Classic, Photoshop, and the Lightroom CC mobile apps. There is also a "Lightroom Plan" which only includes Lightroom CC and other Lightroom mobile apps - this plan is only suitable for those who want to be cloud-dependent with photos stored in the cloud.
Lightroom Classic is the real Lightroom which has been around since 2006. It can sync photos to mobile apps, which is great if you want to edit / see photos on mobile devices too. The other, newer Lightroom for Mac or PC, "Lightroom CC" is like the mobile Lightroom app, doesn't have as many features as Classic, and has simpler features where they do appear to be the same.
I agree with get the Photography plan. But... LR CC on the desktop is a great app and I use it often. It's a faster workflow than Classic for quick editing. You can have LR CC on your phone, tablet and PC and Classic on on your PC if you need features missing in LR CC and you get Photoshop along with it.