If you're ready to move your own Flickr photo collection to WordPress and feel comfortable on the command line, you can go straight to the Flickr to WordPress tool I built and get started.
Update on Feb 18, 2020: You can now also learn about my tool for finding/replacing old Flickr image references in your WordPress post content.
Here's some backstory:
I used to love Flickr as a place to store photos, and as a community for sharing and discussing photography. But as its ownership changed hands and its future became at times uncertain, I grew reluctant to trust that it could continue to be a permanent home for my own photos. My discomfort increased as I have become more engaged with the need to have full ownership over the things I create online.
So, I set out to migrate my 3.6GB collection of 2,481 Flickr photos, along with their tags, comments and other metadata, into a new home while I still could.