I can now answer the question I asked in my original post, which was have I picked the right camera in the Sony a6000? That answer is yes, although I deviated in my choice of lens through recommendations from here and researching loads.
I finalised on a silver a6000 with the 16-50mm kit lens, the 18-105/F4 zoom and the 30/F3.5 macro lens, that should be a good mix for now. I also invested in some fast microSD cards with adaptors (the USB3.0 Lexar adaptor is very handy!).
The image above will hopefully be the last iphone picture I post on the forums
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As sod's law would have it, a few days after getting my a6000 Sony revealed it's successor, the a6300. I wasn't particularly bothered due to the price difference, I wouldn't have been able to get the a6300 and the lenses I wanted within my budget anyway.
I've been playing with the camera and lenses, messing about with the various settings. It's the only way to get used to the a6000 and cameras like it. Here's a random shot of a lamp using the 18-105/F4 power zoom, handheld no less (F4, 1/20sec, ISO-800 and FL-95mm for those interested!).
Many thanks to those who offered suggestions, saved me money (cheers StevenG! ) and help me make my mind up. Looking forward to taking many more pictures of things other than lamps!