Eyres was educated as a King's Scholar at Eton College, where he won the Newcastle Scholarship in 1975, and at Cambridge University, where he studied English language and literature. He holds a Diploma de Estudios Hispanicos from Barcelona University and an MSc in Environmental Assessment and Evaluation from the London School of Economics.
Eyres was a theatre critic and arts writer for The Times (London) from 1987 to 1993, the wine editor of Harpers & Queen from 1989 to1996, and the wine columnist for The Spectatormagazine from 1984 to 1989. He was Poetry Editor of The Daily Express from 1996 to 2001.
Eyres currently writes a weekly column for the Financial Times (London), titled "Slow Lane", which focuses on the creative use of leisure time.
He is also the editor of LSE Environment, the newsletter of London School of Economic’s Centre for Environmental Policy and Governance. He teaches London theatre for a consortium of American universities.
Eyres is the author of Horace and Me: Life Lessons from an Ancient Poet (2013), Beginner’s Guide to Plato’s The Republic (2001), Wine Dynasties of Europe: Personal Portraits of Ten Leading Houses (1990), several books on wine, as well as a volume of poetry, titled Hotel Elisio (2001).