I use desktop more than I use a tablet, my favorite browser is Iceweasel, I have used it for a very long time never had a problem with Iceweasel, on tabbet's I use Chrome, Opera, default browser mostly Chrome.
Interesting choice of browser for your desktop. I used to use the mainline Firefox browser back in the day. When Mozilla took the 'rebranding route', I experimented with IceCat because of the additional security features. Now, I use Chrome, whenever I can, just to be consistent with my use of Chrome on my tablet.