The best time to read the Bible is when you have the proper time for it. This means that you have to do this when you are not rushing. You have to read the Bible at a time when you know that you will have the proper time to reflect and think about the things that you are going through.
You can start reading just one chapter a day. It will already be enough for you to reflect and contemplate about the things that you can do in your life to improve it. The more that you become inspired by the Bible, the more that you can follow in the footsteps of Jesus.