I have had the Zerolemon case and battery since the early part of the year at least 6 or 7 or more months now.
The bulk of the battery and case are not, to me, a disadvantage. Rather, I am glad for the case. Although I try to be very careful, I have dropped the phone two or three times from at least four feet without any damage whatsoever. It is true that the case makes the whole thing about three times as thick, but I felt that the phone in its original configuration was too thIn: it felt fragile to me although it probably wasn't. The increase in size makes the unit feel both solid and more comfortable.
With the Zerolemon case, it will just barely fit into a dress shirt pocket. Because it is a snug fit, I do not worry about it accidentally falling out. It will also fit easily into the front pockets of most trousers and shorts. (I would NEVER put any cell phone into a back pants pocket; in my opinion that would be just asking for trouble.)
The holster works well, except the belt clip sometimes tends to dig into me. The phone has never fallen out of the holster if the phone has been fully placed into it. (I had a somewhat similar holster from Otter Box for my previous phone, a Blackberry, and, while the phone case was excellent, the holster's phone retention clips broke off with only a few day's use-- twice!) I find myself using tis holster only about thirty five percent of the time. Most times I just pocket the phone.
Battery life: the Zerolemon battery usually gives me 12 to 14 hours compared to about 5 for the original battery. Most users will likely get longer times than these, but I access the Internet a lot and I do a lot of writing with Google docs, which instantly synchronizes and saves to the Google cloud, and therfore does more Internet accessing.
I also use the devise as my primary GPS unit. I say primary because in some critical situations, I will also run a second, GPS only unit, a Garmin. One lesson I have learned with this Note 3 is that starting a GPS program can some times be SLOW. A couple times I thought the GPS was broken, but it only needed more time. Once underway, it worked.
GPS uses a lot of battery, more than any other operation, so I always connect to the car's power outlet when GPSing (is there such a word? If not, the should be!) .