To help out I provide free laundry detergent (tide pods) and fabric softener which cost me 40 cents per wash.  

Dish detergent and water wipe down of joists.

Here are cheap methods to try first before calling someone:1.Baking soda and vinegar2.Drano 3.Drain snake 4.Dish detergent and boiling water

He went on to explain that all the remediation company will do is wipe it down with Dawn dish detergent and repaint the surface.I would love to save on the rehab costs but do not want to set myself up for issues down the road.  

This is one place where it might be better to install plastic or wood shelves, instead of metal... the detergent and bleach and stuff may eventually rust a metal shelf. 

I run an ozone machine through the HVAC system often and I also used a microban detergent to spray all the corners and crevices. 

Likely the build up of detergent and grease from the kitchen sink line over a number of years.

EPA says use protective gear while you scrub with mild detergent mix (like dish soap and water).

Is Tide detergent really the best and most economical way to kill moss?  

Repeat from 1 to 3 times or so.At some point in all this, the timer also turns on the release for the main detergent cup, to let detergent in.After the last pump-out cycle, the timer turns on the heating element in the bottom of the dishwasher, and leaves it on for an hour, plus or minus.There isn't a thermostat that turns the heating element off and on (like an oven).