I don't rely on a particular verse, but prayer and meditation.
As a Christian you would want to avoid eastern mysticism, but don't forget that there is a very strong western tradition of prayer and meditation that is often overlooked these days. I think in our modern/post-modern culture we have also tended to compartmentalize our faith, not making it a central part of our lives, like it used to be.
You may want to consider praying some of the daily offices, you don't have to be a monk (or Catholic) to do them. There are some good basic brevaries for layity just for that, so you won't be ovewhelmed with all the details of the full office. PM me if you wish more details on finding one, and I will dig up some links. (I am at work right now so my resources are limited).
If you are interested in something deeper, I can also recommend "Introduction to the Devout Life" by St. Francis DeSales, or "The Spiritual Exercises of St. Ignatius", available at Amazon.com rather inexpensively. "The Cloud of Unknowing" is also good, but I wouldn't recommend it to a beginner, as it can be hard to understand.
I of course, have nothing against scripture, far from it! These things are in addition to study of scripture. In fact the study of scripture can be in itself a form of meditation (Lectio Divina).
But there is so much more depth to our faith than many are taught these days, and the tools to reach it are readily available.
I hope this helps a little.
John Nelson
p/OCB