Well, perfecting reasoning can be done through philosophy, mathematics etc. It takes a bit of practice because its very easy to fall in to circular logic and think one is done. Also as you mature, your reasoning skills grow. After you accept Christianity, you can also pray to the Holy Spirit to give you the grace of Wisdom, Understanding and Knowledge. There are times when I don’t immediately understand Church teaching. Then I pray and after years, it dawns on me. In all that time, I still stay faithful to the teaching. And that is the peace of being Catholic. You don’t always see the reasons. But know you can trust in the Church because you’ve already arrived at it by Reason.
It is a bit of work, but one has to do a bit of searching to reach Christ especially in the modern world where there are so many “alternatives” that try to portray themselves as the “true God”. In all of this, your personal experience keeps you grounded that you have to seek Christ and not these things. That is why the personal experience aspect is VERY important to keep you steady as you strive to find Christ’s teachings.
But one thing you have to remember is that not everyone has to go through this process of logical analysis all the time. Let us say you were born to a Catholic family. It is possible that your parents, or your parents parents etc somewhere down the line did this analysis and accepted the faith. So since they know God’s promises and has faith in him, they baptize you. You in turn would do the same because you trust your parents to have done the analysis. And that is how faith was handed down from the early Church. Through Apostles to Parents, then to child and so on through trust. The problem only occurs when one of the baptized starts to have doubts or gets met with an objection. Then he/she needs to redo the analysis.
Especially in the time we live in, with so many non-believers and even Christians who would ask questions and go down wrong paths, it’s important to know the way so that you can share it with them and bring them to Christ’s teachings with certainty.
To give you an example, if your parents said you have a brother who died before you were born, then you would believe them because you trust them. But then if you hear stuff from other people that it’s false, then you actually start to investigate and see if its true. It’s something similar here.
God Bless