Love-based Christianity is a way of describing a kind of walk with Jesus where we see everything through the lens of the teachings of the Bible which reflect agape love. Because there are so many parts of the Bible which are confusing, i.e. when God tells the Israelites to kill every living creature in a town—including the animals! So we read the Bible interpreting the words knowing that God is Love.
The term "love-based Christianity was coined by Doreen Virtue, and the definition written by Trish Mikkelson.