Well, that took me about 3 days to decide I couldn't stand running un-rooted and bloated.
Thanks @<a href="http://www.galaxys4forums.net/forum/member.php?u=4" target="_blank">wicked</a>, @<a href="http://www.galaxys4forums.net/forum/member.php?u=3158" target="_blank">Droid</a>Modd3rX, and everyone credited in Wicked's How to Root and [Video] How to Install Recovery stickies!
Now to search XDA for a "Safe to Freeze/Delete" list.
By the way, there don't seem to be many threads here about compatible ROMs. There are only four threads in the CDMA/LTE ROMs forum, and very little mention of people's preferred one, or what ones there are for the S4. I know I can search XDA for that, too, but you know, those people aren't very friendly...
I have seen a couple mentions that CleanROM and CyanogenMOD are available for the S4. I'm running CleanROM on my Nexus, I'll probably try it on the S4, too. But what custom ROM/kernel is anyone else running? What do you like, or dislike, about ones you've tried?