Kitching completed a BA in Modern History at Durham University in 1967, followed by a PhD from the same institution in 1970. He was awarded the Alexander Prize from the Royal Historical Society in 1973. He began his career as an Assistant Keeper at the Public Record Office (PRO), where he worked until 1982, before joining the Royal Commission on Historical Manuscripts (HMC) as Assistant Secretary. He served in this role until 1992, when he became Secretary in succession to Brian Smith.
In April 2003, the HMC merged with the PRO to form The National Archives: Kitching moved to the new institution before retiring a year later.
Publications
(ed.) The Royal Visitation of 1559: act book for the northern province. Publications of the Surtees Society. Vol.187. Durham: Surtees Society. 1975. ISBN0854440062.
The Central Records of the Church of England: a report and survey presented to the Pilgrim and Radcliffe Trustees. London: CIO Publishing. 1976. ISBN071513678X.
(ed.) London and Middlesex Chantry Certificate 1548. London Record Society. Vol.16. London: London Record Society. 1980. ISBN9780900952166.
Archive Buildings in the United Kingdom 1977–1992. London: HMSO. 1993. ISBN0-11-440244-2.
Archives: the very essence of our heritage. Chichester: Phillimore. 1996. ISBN1-86077-018-5.
(ed.; with Michael Roper) Feet of Fines for the County of York: from 1314 to 1326. Yorkshire Archaeological Society Record Series. Vol.158. Woodbridge: Yorkshire Archaeological Society. 2006. ISBN1903564506.
Archive Buildings in the United Kingdom 1993–2005. Chichester: Phillimore. 2007. ISBN9781860774430.
A Passion for Records: Walter Rye (1843–1929), topographer, sportsman and Norfolk's champion. Kibworth Beauchamp: Matador. 2017. ISBN9781788039215.