Photoshop is a 32-bit program. That means if you buy a new computer at some point in the future, it will not be compatible with the new 64-bit computers and operating systems. Therefore, instead of buying a 32-bit version of Lightroom, I would upgrade to the Adobe CC package for $10 a month. You will always have the latest versions of Photoshop CC, Lightroom CC, Lightroom Classic CC, Bridge, Camera Raw, Bridge, Premiere Rush and XD and all updates automatically installed as soon as they are released for the one price. Note that Premiere Rush and XD were just added to the package. And, you will be able to able to easily move photographs between Lightroom and Photoshop and back for a smooth, fast workflow.

Older versions of LR will often be more expensive than they were when Adobe still supported them! Not much savings.

Maybe you should just get Adobe Elements 2020, which has some aspects of Lightroom and some features of Photoshop, all in one. It's also less expensive than Lightroom sold for, back when LR was available to buy with a perpetual license. It costs $100 for Elements alone. If you also want to work with videos, there's a deal on a bundles of Elements 2020 and Premiere Elements for $150 (normally $100 each, when bought separately).

Occasionally Elements goes on sale. Likely it will do so around Sept. or Oct., which is when Adobe typically announces the next version.

Like Photoshop and Lightroom, there's a lot of support for Elements. There are books and online tutorials to learn to use it. And there are add-ons to make it able to do even more (such as "Elements Plus").

I'd wager a lot of photographers are just wasting money subscribing to Photoshop/Lightroom... even at only $10 a month. They would be just fine with Elements, possibly updating to a newer version every 3 to 5 years. That would cost 1/3 to 1/5 what they will spend on the PS/LR subscription.

If you wish, it's possible to download a free trial of Elements from the Adobe website, to see if you like it. It's at least a 30 day trial (for a while they offered 60 or 90 days, but I don't know if they still do). Before downloading a trial, I recommend getting one of the "how to" books, to have on hand during the trial period, so you can get fast answers to any question you might have.

Lightroom comes in cloud and local flavors. They're not quite the same thing. Both of them will get regular updates from the cloud.

I don't use the cloud version but it's my understanding that things are stored in the cloud. That makes it useful for several different computers to work on them.

I use the local version (Lightroom Classic), which stores everything locally: the catalog and the image files. You do need to connect to the internet occasionally to validate the program because it's a subscription. You do need to connect to the internet occasionally to download updates. But if youi don't have internet (or don't want it connected) you can run it for a couple weeks without a connection.

LR Classic is the complete program while the cloud version is a "lite" version.

There are several cloud users on UHH so they will undoubtedly correct any mis-statements here.