Assemble the cabinets, but do not put the doors on yet. Take the time to make sure that the cabinets are assembled as securely, squarely and evenly as you can. Install upper cabinets first if possible, so that you will not need to work over the lower units.
Locate studs with a stud finder and use a level to draw a line down at their locations. Measure from the ceiling to mark the height of the cabinet brace or rail you will fasten to the studs.
Upper cabinets go first, starting at one end or in a corner. Be sure to arrange for a helper to lift and support them during installation. Follow all manufacturer instructions for installation.
Now mark the locations of your studs for the lower cabinets. Move them into place and check which cabinet sits highest. It's easier to shim the others up to this height than to shorten the tall one.
Make cutouts for plumbing, electrical, etc. Be sure these are accurate, and leave a little extra room so cabinets can be moved a little and not interfere with pipes or wiring.
Level the top of the cabinets by shimming under and behind them. Remember that you will install a counter top on the cabinets, so you want this reasonably level and all the joints flush. Also look at the appearance of the cabinet fronts and make sure those are even.
Screw the lower cabinets to the wall as per manufacturer's instruction. Test fit the counter top. Cut to length if required, and cut out the sink opening and the opening for the stove if it will be built-in. Allow 1/4 extra inch on the overall length so you can caulk the ends after it's installed.
Place the counter top on top of the lower cabinets. Screw from underneath, making sure that the screws you use are not so long that they will break through the material to the top.
Apply caulk around the sink cutout and lower the sink into place. Check the fit and location, then secure it into place. Apply caulk around the rim of the sink.
Apply caulk around the edges of the counter top and between the backsplash and the wall. Install the stove in a similar fashion.
Install the cabinet doors and hardware, and adjust the hinges so that the doors hang properly. Reinstall any other appliances you removed during your remodeling project. Replace the baseboards.