His shop sold maps, optical instruments, toys, china, glass, and earthenware.
Willdey engraved maps for Charles Price (with whom he partnered 1710-1713), Emanuel Bowen, Christopher Saxton, and Thomas Jeffreys, among many others.
He was apprenticed to John Yarwell and belonged to the trade guild Worshipful Company of Spectacle Makers.
His apprentices included William Gibbons (1709), Peter Elvin (1712), Hannah Martyn (1714), Susanna Ball (1715), Martha Short (1716), Walter Ray (1717), Edward Watkins (1717), Esther Sarazzin (1720), Isaac le Plastrier (1721), Rachel Jourdain (1722), Thomas Clarke (1724), Frances Willdey (1726)), Susanna Passavant (1728), Elizabeth Dupuy (1733) and Isaac King (1736).
In 1715 his location was described as "At the Great Toy and Print Shop, the corner of Ludgate Street, next to St. Paul's" and from 1718 to 1737 as "At the Great Toy, Spectacle, China-Ware, and Print Shop, the Corner of Ludgate Street near St. Pauls London.