Teacher -> Standard

I’m a teacher and I’ve used Adobe CC via school account. Now my employment is ending, and I want to buy personal Photography version. What is the procedure? I must do so that I can continue to work with my photos.  I mainly use Lightroom Classic and I have all the images in one catalog. If I remove all Adobe CC programs (school account) from the desktop, buy and install the personal version of Photography (includes Lightroom Classic and Photoshop) on the desktop, I can just simply open that catalog and the images are exactly as they were the last time I edited images with that school version. Is that how it goes?