Honest questions
How do I know God is real?
You probably will not get proof. What is available is a set of considerations that point somewhere: that there is a universe at all, that moral obligation feels like more than preference, that beauty seems to mean something, and the particular figure of Jesus. Doubt does not disqualify you from looking, and honest uncertainty is a decent place to start.
Proof is the wrong target
Very little that matters is settled by proof. You cannot prove that other people have inner lives, that your memories are reliable, or that the person you married loves you, and yet it would be strange to suspend judgment on any of it. The realistic question is not whether God can be demonstrated but which account of things makes better sense of everything you have to explain, and what it would be reasonable to trust given evidence that falls short of certainty. That is the situation for most serious beliefs.
The arguments, and what they are worth
There are several: that a contingent universe needs an explanation, that its physical constants sit in an improbably narrow band, that moral obligation seems to bind us rather than merely describe our preferences, that consciousness is hard to account for, and that religious experience is widespread and not obviously delusional. None of these is a proof, and each has substantial replies, which honest defenders concede. Their force is cumulative rather than individual. They are better understood as a case than as a knockdown.
The evidence of a person
The distinctly Christian answer is not a general argument for a deity but a claim about someone in particular. If the resurrection happened, the abstract question is answered concretely; if it did not, Paul says the whole thing is empty. That makes the historical material about Jesus more useful than the philosophical arguments for many people, because it is the sort of question you can investigate rather than only contemplate. It also explains why Christians keep pointing to a person rather than to a syllogism.
Looking honestly, doubt included
Doubt is not treated as disqualifying in Scripture. A father says he believes and asks for help with his unbelief, and gets what he asked for. Thomas demands evidence and is given it. Several psalms consist mainly of complaint. If you are investigating, do it the way you would investigate anything you cared about: read the primary sources, talk to people who believe and people who do not, and give it real time. Trinity is built for exactly that, and it will not pretend you have decided when you have not.
In the text
Where this comes from
Quoted from the World English Bible, which is public domain. Read the surrounding chapter in whatever translation you own.
The heavens declare the glory of God. The expanse shows his handiwork.
For the invisible things of him since the creation of the world are clearly seen, being perceived through the things that are made, even his everlasting power and divinity.
You shall seek me, and find me, when you search for me with all your heart.
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