Devote each month to reading and studying a different book of the New Testament. For the longer books, read at least a chapter a day in order to complete the book within the month. Shorter books may even be read once each day. Research the book in Bible reference materials. Memorize at least one verse each week.
Why not start with the Gospel According to Matthew? Here is some information to help you get started, including a list of possible memory verses.
Writings of Luke
Gospel According to Mark
Writings of John