In suburban and small town gardens, the boundary of the front yard is often left to meet the sidewalk without any edging whatsoever. A curb at least eight inches high undoubtedly adds to the finish of the yard. In the problem under discussion, the drive and walk are light colored concrete, and this material would be suitable for the curb.
An alternative, which would give a little more distinction, would be to build a wall of brick similar to that of the house, eight inches thick (the length of a brick) and one foot high, with a flagstone cap, extending of course along the far side of the drive. With the brick of the house thus extended to the sidewalk and picked up on the other side of the drive, the walk to the front door could be of brick and/or flagstone, without giving a feeling of spottiness and unrelated materials.
A poured concrete walk to the front door of a brick house does not provide very much finish, though it undoubtedly looks better when the edges are softened by a ground cover than when it is smack up against the surface of a manicured lawn. If concrete is used for a front walk, rectangular blocks look better than a plain walk.
Width of Walk
The original walk to the front door of this house was three feet parallel to the street, changing to four feet in the part in front of the door. Three feet is minimum for even such a short front walk, and it would make a better proportion to widen the narrow part by a foot. The approach to a front door should be generous (accompanied by landscape lighting), and should not force guests to walk in single file, or close together in case a false step sends them heel deep into the soft or muddy earth of adjoining beds.