Per your notes on the image itself, then yes, step 1 is to parallel connect all the - of all cells together, and then separately connect all the + of all the cells together, with no other connections between the cells.
That will force any high cells to discharge into any low cells, and they will all end up with the same final voltage, and assuming they are all matched cells they will also then all have the same amount of charge (capacity) in them, too.
If they are matched cells and are of good quality, then until they begin to age significantly, they should stay in balance pretty well (unless they are discharged down too far, like down to the bottom of their capacity; that appears to be what tends to unbalance most of the packs I've seen problems with so far, that didn't have to do with defective cells or physical damage of some sort, or workmanship issues).
You could indeed just add a socket (banana jack, if you wish) at each junction between seriesed cells, plus one each at the top and the bottom of the pack. Then connect the single-cell charger across any of them that aren't fully charging.
However, without some sort of cell-level monitoring system (even if it doesn't balance things), you have to "know" the capacity of your pack, and be sure to never exceed it, and also to retest things periodically to be sure they are still in balance at various states of charge (if they're not, then you may have cell(s) that are lower capacity than others, and then you have to remember that lowest capacity is your pack's maximum capacity so you don't overdischarge that cell).