2000 LX470 76,000 MILES. WILL NOT START. TURN THE KEY AND GET ONE "CLICK". MAYBE 1 IN 20 ATTEMPTS THE ENGINE ACTUALLY CRANKS AND THE CAR STARTS. BATTERY TESTED YESTERDAY AT AUTOZONE AND CONFIRMED GOOD. SOUNDS LIKE A SOLENOID PROBLEM? DO I REPLACE JUST THE SOLENOID ($90+) OR THE WHOLE STARTER ($200+)? IS THE STARTER ACCESSABLE? HOW LONG SHOULD THE JOB TAKE ME? VERY MECHANICALLY CAPABLE BUT ANY AND ALL ADVICE WOULD CERTAINLY BE VERY MUCH APPRECIATED. THANKS.