The next Archbishop of Philadelphia, according to John Allen, is the current Archbishop of Denver, CO, Charles Chaput.

The following is from Archbishop Chaput's official website.  There's more elsewhere, obviously.

Archbishop Charles J. Chaput was born September 26, 1944, in Concordia, Kansas, the son of Joseph and Marian DeMarais Chaput. He attended Our Lady of Perpetual Help Grade School in Concordia and St. Francis Seminary High School in Victoria, Kansas. He joined the Order of Friars Minor Capuchin, St. Augustine Province, in 1965.
After earning a Bachelor of Arts in Philosophy from St. Fidelis College Seminary in Herman, Pennsylvania, in 1967, Archbishop Chaput completed Studies in Psychology at Catholic University in Washington D.C., in 1969. He earned a Master of Arts in Religious Education from Capuchin College in Washington D.C., in 1970 and was ordained to the priesthood on August 29, 1970.
           
Archbishop Chaput received a Master of Arts in Theology from the University of San Francisco in 1971. He served as an instructor in theology and spiritual director at St. Fidelis from 1971-1974 and as executive secretary and director of communications for the Capuchin Province of St. Augustine in Pittsburgh from 1974-1977.
In 1977, Archbishop Chaput became pastor of Holy Cross Parish in Thornton, Colorado, and vicar provincial for the Capuchin Province of Mid-America. He was named secretary and treasurer for the province in 1980, and he became chief executive and provincial minister three years later.
     
Archbishop Chaput was ordained Bishop of Rapid City, South Dakota, on July 26, 1988. Pope John Paul II appointed him Archbishop of Denver on February 18, 1997. As member of the Prairie Band Potawatomi Tribe, Archbishop Chaput is the second Native American to be ordained bishop in the United States, and the first Native American archbishop.