Look in back numbers of M E W for the two articles (at least ) on making a Tangential Turning Tool.
A very useful tool, and with only face to grind, easy to sharpen.
By hacksawing off the flutes, suitable MT shank drills can be turned, quite literally, into centres.
An extra, double ended (One male, the other female ) centre will be extremely useful for centering work in a Four Jaw Chuck. Bit of a chicken and egg job to get it accurately centred, perhaps?
You can make yourself a tool for turning radii, balls or concaves .
Every one of these projects will add to your store of confidence and knowledge.
Howard