It isn't necessary to remove or move the alternator and A/C compressor, work through the opening made by removing the inner fender splash shield, understand it is not easy but it can be done. It helps to raise the front of the car, using a lift, ramps or jackstands, you can remove and install the wires on the drivers side of the cap from the bottom.
To relieve the tension on the serpentine belt it helps to have the special tool designed for the job but it can be done using a 5/8" combination wrench. Working from the drivers side place the tool or wrench on the bolt in the center of the tensioner pulley then pull toward the drivers side, once you have slack in the belt remove it from the alternator and A/C compressor.
Use caution around the temperature sending unit on the water pump, many people break the sensor or connector when doing this job.
After removing the belt remove the tensioner itself, there is just one 14mm bolt, note how the engine side of the tensioner is indexed to prevent rotation when you remove it so you can reinstall it correctly. Removing the tensioner allows better access for wire routing.
Take your time, be patient and you can get this done, but it is not an easy job for anyone including a pro. You will feel a great sense of accomplishment and you can ad a stripe to your technicians uniform when finished.