I agree with @Art123
: I also use Amsoil. I've been buying the XL series oil as it's easily available near me and it's a bit cheaper than the Signature Series. I do my changes every 5,000 miles and I also do a tire rotation with each oil change. I've been using the OE Honda oil filters, and along with that I replace the intake air and cabin vent filters every third oil change (15,000 miles). I've found that this is a profoundly easy schedule to manage as every interval is consistent: 5, 10, 15, 20, 25, etc . . . The larger services are at 15, 30, 45, 60, etc.
For all of the other Hondas I've owned I've done a basic transmission service every 15,000 miles also (drain off (3) quarts of ATF and refill) as a part of my "Expanded Filter Service" interval. On many of the older Hondas this transmission service is pretty important (how many here had a 6th Gen Accord that puked its transmission well ahead of 100k miles?), so it's a habit I've gotten into, but I'm not sure whether this is so much a necessity with the CVT . . . Without as many clutch packs in there I'd hope that the fluid would stay cleaner longer, and for my wife's ILX it costs me about $30 to do the ATF service every 15k, so I suspect that the Civic will cost approximately the same.
Oh, and be warned: for those of us with the CVT there is yet another special lubrication requirement for this. It is Honda #08200-HCF2, and as with all other Honda non-manual transaxles it is advised that you do NOT deviate from the Honda branded fluid. Bernardi Honda actually has a nice little chart to show you what fluids should be used where on which model and year, and it includes hyperlinks to the pages for the fluids in question:
It also appears that there is some kind of a filter inside of the "CVT fluid warmer", Honda #25450-P4V-013, and there is also a strainer assembly in what appears to be the oil pan that probably needs to be replaced periodically (Honda #25420-5LJ-003). Neither of these parts are pricey from Honda (strainer is $16 retail, warmer filter is $19) and they should probably be considered.