If they are close in quality, I would lean toward public schools.
I'm not a fan of government curricula. Too much sex, drugs, rock &roll, and stories about victims of color.
Prefer a bit of the Trivium and the Quadrivium, actual history, and good Lit.
Want my kids to be able to read, write, compute, imply, infer, and all that hard stuff.
While I could celebrate the reduced competition that my children will face from the voluntarily mentally retarded graduates of such institutions, I'm not that cruel. Besides the enhanced criminal tendencies of relativisticly educated Government School students mean that I have to spend more on weaponry than I would otherwise.
Socialist production of education like socialist production of steel tends towards high cost and low quality.