When it comes down to it, ultimately the laws of physics/science/nature have to be suspended in order for the universe to come into existence. Even the atheists have to admit that. Since matter and energy cannot be created or destroyed (excluding relativity but even then you have to have either matter or energy in order to get the other), it only makes sense that you have to have some force that operates beyond the laws of the universe (even then, logic dictates that there must be rules that govern in situations outside the normal laws of the universe). But there is a principle that cannot be ignored: cause and effect.
There is apparently some bizarre theory that I confess I don't understand that says energy can be created, apparently randomly. Okay, let's suppose for argument's sake that is the case. But unless I'm wrong, that theory doesn't allow for anywhere near the amount of energy needed for the creation of the universe. But still, nothing is truly random. What we call something random we really mean we don't understand the variables, right?
The method I present will probably be criticized as overly simplistic because it is simple enough that a little kid seems more likely to pose it than an adult.
Step 1: Ask how the universe came to be.
Step 2: Continue to ask "why did that happen?" until the atheist is unable to answer.
Step 3: Ask if they agree that there was a cause, even if they are unable to state what the cause was.
Step 3a: If they agree, ask if they'd agree if there was an infinite series of events.
Step 3b: If they disagree, point out that they agree that there was a beginning point to the universe beyond their understanding.
Step 4a: If they agree, clarify that they believe there was an infinite series of events beyond their comprehension, and ask if it doesn't make more sense for God to exist.
Step 4b: Ask if it isn't remotely possible that the cause of the start of the universe was God.
Let me add a little more meat to my argument by pointing out a few things/adding a few comments.
1: This could be made quicker by asking what the atheist would place the chances of God existing, then comparing it to the astronomical chances of this universe coming to exist without him.
2: You could take the atheist argument that everything is random to the logical extension that the laws of reality are random as well. Supposedly this argument has been refuted, which I have to be skeptical about because the claim came from someone who denies the historical existence of Jesus, zero intellectual honesty going on there.