The development, design and construction of items in the county's capital improvement program will be handled by Capital Projects.
Land Development Review will review and monitor private development projects.
Both departments would be housed in the Division of Public Works.
Murray said the changes to the engineering department will be immediate.
The changes to the engineering department were spurred by the resignation of the county's chief engineer, Terrence P. McGee. His last day was Feb. 15.
"With (McGee's) departure, we have a chance to make the department more consistent with how it actually operates and also more consistent with the way other counties in Maryland operate," Kroboth said Monday.
Murray said moving the airport to Public Works makes sense because the rest of the county's transportation-related departments are in that division.
"They all tie together, regarding how you get people in and out of the community," said Murray, who noted that the change also will help the county create a master transportation plan.
Similarly, Murray said the Recreation department is more closely aligned with Buildings, Grounds and Parks than with Planning.
He said the airport and recreation department moves will be effective July 1.
The moves will not require any changes to those departments' budgets or staff, Murray said.
The engineering changes will require additional staff.
A project manager will be hired to work in Capital Projects. That position will be advertised as a grade 13, which has a salary range of $42,843.15 to $67,005.
Two grade-17 deputy directors will be hired to head the Capital Projects and Land Development Review departments. Those positions will replace the vacant chief engineer and deputy director of public works jobs. Grade 17 has a salary range of $58,287.60 to $91,159.
A vacant, grade-15 transportation planner position also will be filled. That position will move from Planning to Land Development and will be retitled transportation engineer. Grade 15 has a salary range of $49,971.60 to $78,153.