Quick answer: for a routine, uncontested sale, generally no separate order is needed — the executor's power of sale under 12 Del. C. §207 covers it. A contested sale, however, goes to the Court of Chancery itself. Run your own numbers in the Delaware probate real estate sale calculator.
A clerk's office, not an independent court
The power of sale itself comes from Title 12
12 Del. C. §207 addresses the power of sale to an executor or trustee and the liability of a purchaser — giving a will-granted or letters-based executor authority to sell without a separate order in routine, uncontested cases.
A will changes the spousal default
The life-estate rule for a surviving spouse applies specifically when there's no will; a valid will can leave real property outright to the surviving spouse instead, sidestepping the intestacy default entirely.
A local probate attorney can review your estate — many offer a free consultation.
All three of Delaware's Registers of Wills — New Castle, Kent, and Sussex — sit behind the same Court of Chancery for contested matters.