...or at least I'd like to try SSE. I loaded up Steam, but I don't see where the option is to upgrade to or download SEE without paying the $40. I already have all DLCs, and have for a while. What do I need to do to get the free upgrade?

Also, once I have that done, considering I"ve got a lot of mods installed, what is the recommended way of updating all/most/some of them. I'm sure some will need updating thanks to the Special Ed.

Look in your library, it should be there as it was added automatically. If it isn't you need to get in contact with Bethesda customer support.

I do not see it in the Library list.