A home of about 2,286 square feet, according to the owners, with three bedrooms and 2½ bathrooms, asking $2.3 million, or $984.25 a square foot. Property taxes in 2012 are $27,291, say the owners.

DETAILS: The owners say this house, built around 1925, was “worn and in need of updating” when they bought it in 1998. They did a 10-month remodeling that included making a television room out of a screened porch while preserving original details like the pecky cypress ceilings in the living room and library, the handblown stained-glass panes in the powder-room door and the Cuban tile floors in the dining room. The owners planted Cuban royal palms in the front yard that neighbor and interior designer Campion Platt says make the house. “It’s very sculptural from the outside, it has great curb appeal because of the palms,” says Mr. Platt, describing the house as an adapted Spanish-style. While Mr. Platt hasn’t worked on the house, he says he likes the interiors, though “there’s no place that I don’t go into that I don’t mentally rearrange.” He calls the one-bedroom, one-bathroom guesthouse overlooking the pool “a necessity” as it lets guests have their own schedule. The family uses the living room in the guesthouse as a gym.

NEIGHBORHOOD: It’s just minutes to the Palm Beach Recreation Center where you can sign up for French, Spanish or Italian lessons.

OWNERS: Neil and Luiza Kozokoff. Mr. Kozokoff is a real-estate developer.

WHY WE’RE SELLING: The Kozokoffs would like a larger home in the same neighborhood.

WHAT WE’LL MISS: “The charm and the location,” says Mr. Kozokoff, who likes being able to walk to the beach, Starbucks or the nearby tennis courts in 10 minutes. Mrs. Kozokoff will miss her combined dressing room and office suite.

WHAT WE WON’T: “I’d like a garage,” says Mr. Kozokoff, adding that you can fit six cars in the driveway, so it isn’t a question of hunting for parking.

WHAT WE PAID: The couple paid $505,000 for the house in 1998 and estimate that they put $1 million into updating and restoring it. “A lot of the money was spent on preserving the character of the home,” says Mr. Kozokoff.

COMPS: A 3,685-square-foot house on the same street sold for $2.7 million in 2010.

OTHERS SAY: Ted Ward of Barrett Welles Property Group has shown the house and calls the price fair. He says it “lives like a newer house,” though it has original details. Listing broker Paulette Koch of Corcoran Group Palm Beach Real Estate also points out the period details. She shares the listing with Dana Koch.

- Sarah Tilton from The Wall Street Journal