I have a licensed copy of PSE 2019. I have purchased a new laptop online and expect it to arrive in about 2 months. Can I transfer my licensed PSE 2019 to the new laptop? How?
The license, i.e., a subscription, is bound to Adobe ID and not to the machine, so all you need to do is install Creative Cloud on the new machine and log in using the Adobe ID that has the subscription. However, Adobe supports only the latest two versions of CC apps, so you will get to download only CC2021 and CC2020 version of the app on the new machine.
[Edit]:- This answer is relevant for Photoshop which is subscription-based, but not for Photoshop Elements as it's a licensed product. See the response from @Nancy OShea for more details regarding Photoshop Elements.
Photoshop Elements has nothing to do with Creative Cloud. It's stand alone software, no subscription
Assuming your new machine is compatible with older PSE 2019, use the installation media (disks or downloads) & serial number you received at purchase. If you don't have an optical reader, you can buy external ones on Amazon for about $20.
[Moved from Licensing to Photoshop Elements.]
You are entitled to install a copy of the program on two machines at a time (but you can only use the program on one machine at a time). If you may want to use the program on another machine in the future, all you need to do is to sign out of the old machine (from the Editor's Help menu). This will de-activate the license on that machine without further action on your part.