Many times I have seen this topic on different forums, where Photoshop Elements users talk about moving to new machine. I see it a very important need because many of us have very large catalogs which are prepared for last many years. Good thing is that Adobe has provided very good and stable feature for achieving this particular need.
*** Critical things to move are associated metadata and organizing structures like Albums/Tags/Version-Sets/Stacks etc.
Now lets talk how it can be achieved. In Organizer part of Adobe Photoshop Elements, there is a feature called Backup which helps us taking complete backup of all files, their metadata, containers like Albums, metadata for better searching like TAGS, string association between original and edited versions like VERSION-SETS, groups of similar photographs like STACKS, Slideshows, creations, Photo-Books, Collages etc. So it take everything in backed-up package which needs to restore on other machine. Now lets discuss detailed steps to achieve all this: