The most direct way to deal with thoughts.
There are plenty of versions of self-inquiry. The most direct is Ramana Maharshi's version.
For each thought which comes one asks, "To whom does this thought arise?" It doesn't have to be this formal after a bit, but to get the momentum going (build a habit) and even be a little silly with it (less pressure), be formal. To whom does this thought arise?
The most obvious answer is "to me." Then one asks, "Who am I?"
Now the answer to this can't be a thought. Why? Well for each thought whuch comes, one asks "To whom does this thought arise?" So the process begins again – with every thought attempting to answer the question "who am I?"
Eventually you see "Who am I" is also a thought.
The expectation that Nondual Realization is something extraordinary is dropped.
"Your expectation of something unique and dramatic, of some wonderful explosion, is merely hindering and delaying your self-realization." –Nisargadatta Maharaj
"A day will dawn when you will laugh at your past efforts. What you realize on the day you laugh is also here and now." –Ramana Maharshi