If you do get a a6000, I've got a 16-50mm pz pancake zoom lens you can have for cheap. It's a bit tatty, but perfectly functional.
I'd recommend the Sigma 19mm 2.8 Art lens if you want a carry around prime. It's small and cheap 2nd hand (as they stopped making it), and an excellent lens.
If you do get a a6000, I've got a 16-50mm pz pancake zoom lens you can have for cheap. It's a bit tatty, but perfectly functional.
I'd recommend the Sigma 19mm 2.8 Art lens if you want a carry around prime. It's small and cheap 2nd hand (as they stopped making it), and an excellent lens.