You can dig the tree when it is dormant or just beginning to break dormancy (swelling buds). This usually is Jan. to Mar. where I live (CA). At that time you probably don't have to worry much about the roots and the tree can be essentially "bare rooted". Pot it up in some very gritty soil with very good drainage and say a prayer. I would do some preliminary branch pruning even severe pruning at the time of the dig in order to sort of set the style and remove some of the canopy to balance with the reduced root system.

Luis, I think you might be right about the R. calendulaceum. I looked up lots of info on it and it seems to fit. I think that I was confused because when I have seen this one in bloom, it still has unopened buds on the top of the ball of blooms (for lack of a better term) so it looks more like a half sphere than a sphere. The unopened buds are much more fiery than the opened blooms. Once I found a photo like that I was convinced. I found one site that said it tends to be scraggly, especially if grown in shade and this one is. It is more like a tree, not a shrub and the branches are open and airy. The one thing that doesn't fit is that it is not supposed to be fragrant. This one is very fragrant and the scent is in the air from quite a bit away. It reminds me of honeysuckle. Perhaps this one just didn't read the rules. I also thought that it might be 'golden lights', since it is supposed to be fragrant, but I think that this one is far too tall to be that. If it is R. calendulaceum, it is supposed to be easy to grow from seed. Can I collect the seeds and do that or is it veyr difficult? I have never collected seeds in my life, so this is not obvious to me. If I do manage to grow one from this particular plant, will it be more likely to have this plants characteristics? It is a beautiful 'tree', but the flowers are so short lived that I don't know that I really could fully appreciate it without the fragrance as well. That is just so much of its charm. I am going to track its progress to see just how long they last. The link is not a great photo of the tree, but you can see how graceful its branches are and how tall it is. I am very taken by tree as you can tell. Thanks to everyone for your help. Here is a link that might be useful:

IME all the plants of the genus Rhododendron (including flame azalea) have pods and seeds that look quite similar. I've linked a page below that describes harvesting the capsules, gathering the seeds, and then sowing them. There are quite a number of photos, including one of the seeds (which are tiny) on a planting surface. Here is a link that might be useful: sowing rhododendron seeds

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