This topic has been discussed several times on the forum previously and I think the consensus is that it doesn't really matter all that much which type as long as you use it consistently. Solar covers don't really heat the water all that much but they keep your pool from losing heat overnight. If you pair it with a solar panel to actually heat the water, you can actually raise the temp of your water quite a bit. I have a 27ft AG pool and use both on my pool -- solar panel and a solar cover. I think the type of solar panel I have is a FAFCO. You can probably google for that to see what it is.
The solar cover is definitely a pain in the you know what to deal with. Through the years, I have tried many different methods for dealing with the cover. I will add a couple of links to some threads that show some ideas for dealing with a solar cover, specifically on a round AG pool. Currently, I use something called a Solar Roller Cover Stick. There is a video demo of this on the following website. It actually does work pretty well, at least better than anything else I have tried previously. www.solarroller.com.
I will look for those other threads and edit this post to include them when I find them.
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EDIT: http://pool9.net/wm-scover/
http://pool9.net/wm-pool-advent/
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