What you need to brew Kombucha at home?

There are many guides available for this on the internet. You should first check them out. A very comprehensive one is the /r/kombucha wiki's here.

Here we will add a few notes on top of the above guide that might be helpful if you are in similar situation as me.

Second Fermentation

1. Consider buying small 250 ml bottles for second fermentation. Big bottles will force you to drink flatter brews since you might not be able to finish all in one go, they will also restrict your flavor experiments.
2. We have used these flip-top bottle (not an affiliate link) in the past. They hold pressure really well and I haven't had any explosions with them, yet.