misska wrote:in fact, I used a Linux with gparted to extend the partitions without [losing] data.
Okay, I'll give that a try using the Pi itself since I can plug the ready-to-change 32GB SD card into another USB slot.
W.r.t. to the unusual partition layout where partitions are overlaying each other - did you simply extend the end of the two/three largest partitions
Okay, to answer that myself - the overlayed partitions are logical ones on top of an extended partition. To resize partitions appropriately for my situation (8GB Raspbian installed from a NOOBS 8GB card that came with my Pi), I first made an image of the 8GB disk on a Windows machine using Win32DiskImager, then copied that image (also using Win32DiskImager) to an "empty" 32GB SD card, then plugged that card into a spare USB port on my Pi's external powered USB hub. That automatically mounted 4 or so /dev/sda? disks so I manually unmounted each one of them. Then I ran GParted (under X Windows) and selected the 32GB card as the one to repartition. As shown by misska's original post, there were a number of partitions shown in GParted (more than the =3= that the YouTube video and numerous How-Tos say there should be (since this is a NOOBS-install of Raspbian)).
To begin to perform the resizing I selected the far-right partition - a small one - and told GParted to move it. That move was performed by simply grabbing it in the dialog and pulling it all the way over to the right. This freed up the right edge of the large extended partition (within which were logical partitions).. The next step was to resize that extended partition to use all of the unallocated space on the 32GB card. To do this I told GParted to resize the extended partition, then grabbed its right edge in the dialog and pulled the right edge to the far right, resizing it.The final manual step was to resize the logical partition inside the extended partition to use all the unallocated space within the extended partition. This was done by selecting the "far right" logical partition within the extended partition and telling GParted to resize it, then grabbing the logical partition's right edge and pulling it all the away over to the right in the dialog., thus expanding its size to take all the unallocated space in the extended partition.
The final step was simply to hit "Apply" to actually make the changes.
I then powered down, swapped out the 8GB main disk, swapped in the new 32GB "main" disk, and powered back up. That disk is now my main Raspbian disk on my Pi (active while typing this post addendum).
Thanks, misska, your reply was the kick I needed to Just Do It with GParted.