Why fix something that already works perfectly? I’m having no trouble with either. 8.1.3 is quite stable no matter what the League of the Perpetually Dissatisfied says.
I wish I could say I have had a consistently good experience with Handoff/Continuity even before my most recent hangup with it.
Right now, I can't get it to work at all. I reinstalled OS X last week to reclaim some hard drive space (apparently if you run file-vault, you can't reclaim space from a boot camp volume you no longer use ... long story). Anyway, I can't get Handoff and Continuity to work anymore between my Mac and iPhone. It did work more or less alright before the reformat. Yes, I've tried logging out of iCloud and logging back in, ensured the settings were where they were supposed to be according to the help files out there. Basically, I'm stumped.