I was going to say a Hipshot De-tuner, but decided to plump for my Line 6 GX Toneport with PodFarm modelling software. It allows me to use my PC at home or laptop when away as a practice amp, playing along to the songs on my computer at a volume that won't annoy other people in the area! I also use it in conjuction with Cubase to record demos.
As far as basses go, my first Jazz bass. I was always a Precision sort of guy, but when I first tried a Jazz, the neck just fitted my hands perfectly, the neck pickup gave me somewhere to park my thumb comfortably and the variation of tone was an eye-opener.