I recently moved into a rental house. it was completely re-done including the counter-top... the problem, is that the counter top was done so terribly that after a month of normal use it was bubbling at the corner seam pulling from the wall not completely caulked all the way.... So with the landlords dime, I requested to re-do this lousy job. He accepted and this is the process....
Note: If you were to go buy that "Generic" countertop to replace it, it would cost the same as what I paid for all my materials. To have a custom shop do this type of counter-top would cost 3-4 times out-of pocket cost. Thankfully Im equipped with the tools to do this, but it really dont take too much..
I went from "cheap and plain", "Poorly installed" To "custom and unique" and "solidly built" so this is a definite "fix it" contest entry!
Step 1: Out with the old!
Get all your measurments and make a drawing of the old counter-top. UN-hook the sink drain and water supply hoses from the valves (make sure you turn off those valves(dont ask)). while you are under there, look to the outside edges of the sink, you should see some kind of clips you can loosen to allow the sink to lift out of the old hole
Step 2: Next unscrew the old counter
grab your flashlight and probably a second pair of hands to hold it. and a cordless drill.. I didn't take any picks of this process, but basically look inside all the lower cabinets and at the top and each corner you will find a corner brace or something with a screw going up up into the counter-top from underneath.
After you get all of the screws out, gently lift the old counter up if it snags or hangs, there is more to unscrew, so do not force it..
It should lift right off the Cabinet top. toss outside or re-purpose (in my case) into a shop counter.