Install the kitchen cabinets in the run on one side or the other of the sink cabinet installation. Make sure they are level. If they aren't, use wooden shims to level them.
Measure the distance from the wall where the water pipes sit. Measure their distance apart as well as the diameter of the pipes. Transfer this information to a piece of paper. Replicate the size of the holes and their spacing on the paper to create a template. Cut the holes out of the paper and slide the template over the pipes to make sure it is accurate. Make adjustments as necessary. Repeat this process for the drain hole in the back of the cabinet.
Set the paper template in the base of the sink cabinet. Mark where to locate the holes. Repeat for the drain hole. This is a measure-twice, cut-once situation. Use a hole saw attachment for a drill to cut the two holes in the sink cabinet floor and the single hole in the back panel.
Lift the cabinet high enough to be able to set it over the plumbing pipes. Square the cabinet to bring it in line with the rest of the run of cabinetry. Check its level. Add shims if necessary.
Clamp the sink cabinet to its adjoining cabinet. Drill a pilot hole for the cabinet mounting screws in the face frame. Make sure the screws you use are long enough to go from one face frame to the next. Screw the adjoining cabinet in place. Secure the back of the cabinet to the wall studs with additional cabinet mounting screws.
Continue placing cabinets on the other side of the kitchen sink cabinet. Join the next cabinet with cabinet mounting screws as well.