My advice is to use only original batteries for your camera. Third party batteries may have problems of overcharging and discharging.
As for chargers I recommend this...
the downloadable file is in this link: https://www.sony.com.sg/electronics/support/e-mount-body-ilce-6000-series/ilce-6000/downloads/00015952
follow the instructions at the bottom of the page
After 3 years, there is a new update for the grandfather of the APS-C camera!
https://www.sony-asia.com/electronics/support/e-mount-body-ilce-6000-series/ilce-6000l/downloads/00015952
Came out quietly on the 19 Mar 2019