Okay, thanks.  I confess I don't understand why Showkas-Pro can't "detect" when a new Flick Set has been created.
My current PHP code just says when you enter the page: get a list of all current sets from Flickr.  Then iterate through that list building the display.  So the page is built dynamically at every entrance (except when the browser does some caching, in which case you shift-reload as with any web page). Works fine. If I add a set in Flickr, it just shows up.
Are you saying Showkase-Pro doesn't have an equivalent mode?

I'm confused as to terminology, with galleries and sets.
In Flickr, there are sets. My current page (http://cpuworks.com/photos/) shows an automatically-updated list of all sets I have on Flickr.  (This is an app I wrote using phpFlickr.)  When I add sets in Flickr, and refresh the page, the new sets show up.  The problem with my current app is it's not mobile-friendly when I go into a set. Changing the orientation, for instance, messes things up.  Hence the need for a mobile-ready solution.

What I _think_ you're saying is JuiceBox could do the individual set displays, and I'd just call it from my "show all sets" page, with the specific settings for each set in each link. Right?  Replace my Flickr calls with JuiceBox calls?

For instance, to display the contents of the set with ID 72157645547079035, I call:
http://cpuworks.com/photos/?action=phot … 5547079035

There would be some equivalent Javascript function, to which I would pass the set ID?

Is this correct?  Thanks for the clarifications.

I have a specific use case, and before I spend time and money on JuiceBox, I just wanted to make sure it would do it.
I already have a web page which displays all my Flickr sets, in the proper order, and lets you choose one to view the photos within.
But that page is a normal web page, and is NOT mobile-friendly, so I'm looking for a software package which will let me do the following:

In a mobile-friendly way:
1. Show all my Flickr sets, in the same order Flickr shows them. Having a thumbnail for each would be required.
2. Once the user selects a set, show the photos in there in chronological order or the order Flickr uses.
3. The list of sets should update automatically as new sets are created.

Bonus:
4. Show the text for each photo, either next to it, or via some sort of popup or mouseover.

So I don't need a non-mobile-friendly solution, I already have that. 
Will JuiceBox or JuiceBox Pro do all of these?