In this episode of Why Catholicism is True, Pat Flynn gives his advice on what he believes are the best arguments for God’s existence Also, the basics of what makes for a good argument to begin with, and the types of arguments you should avoid using when evangelizing.
Recommended reading:
5 Proofs of the Existence of God (Ed Feser) – Argument from Change + Contingency Argument
Mere Christianity (CS Lewis) – Moral Argument
Reasonable Faith – Kalam Argument + Fine Tuning Argument
The Blackwell Companion to Natural Theology – More technical development of the above arguments, and more.