This two-bedroom, 11/2-bathroom ranch at 1 William St. in Glen Cove is on the market for $429,000. "It's a very charming, cute house," says listing agent Carolyn Gelb of Douglas Elliman Real Estate (516-627-2800). "It is a nice ranch, people can downsize and not have to have steps because everything is on one floor."

The home has been redone within the last six years and features a newer roof, new siding, a new boiler and new windows. The kitchen has been renovated with granite and stainless steel appliances. There is also a finished basement with a laundry room and half-bathroom. "There are beautiful beams and vaulted ceilings throughout the home," Gelb says. The home also has a one-car detached garage and a very long driveway with room for four to five cars.

It is one of several Glen Cove homes holding open houses this weekend:

SATURDAY

NOON TO 1:30 P.M.

Cape for $379,000 at 15 Donahue St.

2 TO 4 P.M.

Colonial for $475,000 at 239 Lawrence Lane

SUNDAY

11 A.M. TO 1 P.M.

Cape for $399,000 at 18 Raymond St.

NOON TO 2 P.M.

Split-level for $540,000

to $595,000 at 13 Milford

Lane

NOON TO 4 P.M.

Colonial for $788,000 at 17 New Woods Rd.

1 TO 1:30 P.M.

Colonial for $435,000 at 59 Franklin Ave.

1 TO 2:30 P.M.

Ranch for $475,000 at 12 Leuce Place

1 TO 3 P.M.

Colonial for $625,000 at 24 Broadfield Place

2 TO 3:30 P.M.

Ranch for $429,000 at

1 William St.

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