A couple of words about court appointed attorneys:
Often when a defendant proceeds pro se, the courts will appoint an attorney to assist him. That attorney basically sits there like a relief pitcher- the defendant does everything himself unless and until the defendant asks him for help. Only in the rarest of cases will a judge interrupt proceedings and insist that the appointed attorney step up. Up until that point, though, its the defendant's choice & responsibility to defend himself.
In addition, I did a brief stint in the Dallas Public Defenders' Office. The people I worked with were knowledgable and competent attorneys...and extremely overworked.
Sometimes, they had to argue a case with only a couple of hours of familiarity with the case file.
They generally know what they're doing, but they may be so overstretched that they make errors, so you really only want a public defender if you can't come up with the $$$ for a private one.