This is analogously equivalent to a beginning student of algebra asking for someone to prove Gödel's incompleteness theorems to them. Without the necessary background the proofs aren't meaningful to the one being taught, so they must either believe the teacher based upon his own credentials and authority or else doubt the teacher because they did not understand him and thus weren't convinced.
Proof of the existence of God is the end of metaphysics. It takes as given all previous metaphysical principles, as well as the principles of the philosophy of nature that metaphysics takes as its foundations. A thorough account would take at least a book. A complete understanding could take a lifetime. That might not be very satisfying. Reality can be a harsh mistress.
I would also note that if by "proof" you mean "scientific proof," then you are asking for the impossible. I will note, however, that I am not saying this simply to say that the existence of God is not a question open to the empirical-mathematical method of modern science, which is interested only in the accidents of sensible quantity and measurable quality. I am saying this because the scientific method, as a method, is not capable of providing proof of anything in a strict sense.
The scientific method is an inductive and dialectic method which relies on continually observing things under particular circumstances, forming hypotheses based upon these observations and then testing the hypotheses against further observations. When one hypothesis is demonstrated to be false because reality does not follow the predicted outcome, the data is then reconsidered and a new hypothesis is formed and tested. When a hypothesis continually predicts reality correctly, it is then considered to be true.
This is not, however, equivalent to proving that the hypothesis is true. The hypothesis is probably true because particular circumstances have continually conformed to the hypothesis' predictions. But all it takes is a single, repeatable example in which the hypothesis fails to render said hypothesis false, at least in scope if not completely. Sometimes such observations take decades, or even centuries, to be realized because they require new tools to enhance our senses, allowing us to observe phenomena that we previously could not observe. For example, classical mechanics was long believed to be the whole of mechanics until we were able to observe phenomena on a much smaller scale, a scale in which classical mechanics breaks down and fails to make accurate predictions. Thus quantum mechanics was born.
Thus, the scientific method, being an inductive method, does not prove anything in the strict sense. Its results are probably true, but they are not definitely true. In the most accurate sense, the information about reality given by science would be called justified belief, which is traditionally the name given to propositions held due to induction (moving from the particular to the universal) and dialectics (the back and forth of hypotheses until one is arrived upon that cannot be disproved given the current circumstances).
However, in the interest of providing some help, I will offer the following link. It provides an audio lecture on some proofs for the existence of God by the philosopher Peter Kreeft, as well as links to some more of his writings on the question. I offer this link with two caveats:
1. These lectures and writings are simplifications for the purpose of speaking to a non-academic audience with little or no higher level training in philosophy. As such, it is possible that there are weaknesses in the arguments as presented that would not be present in more rigorous and academic presentations of them.
2. Simplifications such as these are sometimes targeted at audiences more inclined to agree with the arguments than not. As such, the tone of the presentation might be contrary to your sensibilities. This is simply what one must deal with when one is dealing with this kind of work. I feel the same way reading Dawkins or Dennett.