I've been primarily an iOS user for years now. I've dabbled with the Android ecosystem on and off but I never found them up to snuff relatively speaking. The Note 3 was my most recent foray into the Android world and it has been, to put it mildly, a very bumpy ride:
-On my second Note 3. Both have suffered spontaneous and frequent crashes of the entire phone to a black screen, necessitating battery pulls to get it back up and running, only to suffer boot loops until I magically get it semi-stable again. A user here suggested I run a phone in SAFE mode, and thus far, this is the most stable the phone has been since day 1.
-Clearly, given my issues above, the app ecosystem just flat out is amateur hour. Nobody should be able to write an app that crashes the phone into a hard-lock situation, but yet, they somehow have managed to do so. I've not yet figure out which app (or, likely, apps) are causing this kind of crash, but I've read enough in researching the issue to know that while not common, this is fully possible given the non-curated nature of the Google Play store.
-The numerous tweaks and settings are not always that straightforward. You have to tame this beast if you want to customize it beyond wallpapers, widgets and ringtones. And the fact that you CAN customize the user experience is likely what is causing the issues above as every damn app asks for access to your grandma's panty drawer just to give you some basic feature that should have been built into the phone in the first place. Its a maddening array of switches and buried settings that are nowhere near intuitive or even make sense. Allow Wifi scanning even when Wifi is off? Seriously, why the hell should I have to turn that off?
-Processes spin up other processes, seemingly like rabbits on viagra and fertility pills. The reason you gotta have so much RAM is because the OS gives it up like the high school prom queen to anything that asks. Horrid memory management. Reminds me of the old Software Carousel days and Terminate-Stay-Resident programming tricks for memstack usage.
Now I'm sure a few of the myopic fools on these boards have already shut me down at this point as a flame against Android. But you'd miss out on something that I think the OP is as well. So read on if you want a moment of redemption.
In SPITE of all the above things I hate hate HATE about Android 4.3, I gotta say that the forwards trajectory of the OS is soooo much nicer than anything I've seen from iOS 7. Or likely to see from iOS 8. Android is growing up. These are puberty pains, to be sure, but they aren't anywhere near as harsh as they used to be. Even with my misbehaving apps, the OS maker figured that a Safe Mode was a need-to-have and gave me a debugging tool (however crude) to self-curate. And with that I have to believe in some of the other memtrace and other debugging tools that I can get from the Play store. Because this truly is emerging as an open systems platform and with that open systems development AND debugging are now firmly entrenched in their DNA. This makes it programmer (or wanna be tinkerer/programmer) friendly in the extreme. You can do soooo much high tech wizardry with an Android device out of the box. You may question the value of NEEDING to do these things, but you can and that opens up opportunities you'll never see possible on the iOS platform.
For example, take Airplay. Pretty cool on iOS, I can drag and drop my screen onto my Apple TV and view things there. Similar features, nowhere near as well developed on Android, do exist if you've got a compatible TV (Samsung TV's have this built in and it works well with Samsung phones). But what about the reverse? What if I want to hook up an Actiontec HDMI wireless signal from my transmitter and receive it on my phone? Turn any analog/digital service into a streaming service? Can you do that with iOS? No, you can't. Can you do that with Android? Actually, you can. I've got a couple of engineers that have a prototype working of this already for a custom app we are considering. Its not that hard, you don't have to ask permission of anyone to do it (DRM issues excluded obviously), don't have to hope that Apple 'certifies' it for you. You just apply know-how and you do it.
That kind of freedom has a price, to be sure. See my issues above. But you also get some very nice perks:
-Bigger screen size. It matters. Really, it does. So much more real estate to work with. Actually make some apps usable while still keeping form factor very portable.
-Bigger battery to power that screen = more juice, especially if you manage screen-on time wisely. I get almost two business days worth of use out of my Note 3 between charges.
-Don't really care about the specs...this is still a phone, not a laptop replacement.
-anything basic you can do on iOS you can do on Android. Maybe not out of the box, but its doable. I've yet to see a single thing that isn't hard-coded for the Apple ecosystem as an exclusive feature (iTunes native synching).
-Google synch for email, contacts, calendars, etc....all work just as well as with iOS. Google clearly is pushing the game harder at iOS these days but I doubt they'll let Android lag behind (Hangouts, etc.)
Tech issues aside, the freedom to make this phone anything you want is exceedingly valuable for some types of users.
For others, perhaps the OP, the value in just adopting something simpler that works very well and is all but guaranteed to not require "fiddling" is a higher value.
One is a matter of conformity and acceptance. The other is a matter of self-reliance. Really does come down to personal choice.
Last point: If you really enjoy getting the highest quality entertainment apps with the broadest selection possible, there is little contest to the iTunes App Store. I can't see how anyone but an absolute denier-of-the-truth would state that. Games, pastime killers, etc. all are far more abundant, have higher production values and are just more plentiful (and usually released first) on Apple. But there is no lack of apps on Android....just have to be a bit more selective about your choices.
I'd say a week of ownership is about right to see if it suits your personality and needs. If it doesn't, move on.