Complex sentence: Randolph inherited something of his father's literary flair, and carved out a career for himself as a journalist, becoming editor of the "Londoner's Diary" ("Evening Standard") and was one of the best paid gossip columnists on Fleet Street.
Split into simpler sentences: Randolph inherited something of his father's literary flair, carving out a career for himself as a journalist. He edited the "Londoner's Diary" in the "Evening Standard" and was one of the best-paid gossip columnists on Fleet Street.