Hi ya mate
welcome to the world of Xtreme cleaning, firstly i appreciate your ppe but please be aware you should be wearing full face masks, at the end of the day your carrying out a bio-hazard clean.
I would first spray the property and the toilet with an anti microbial and leave it to react for at least half an hour, all your cloths, sponges that your gonna use need to be disposed of afterwards to stop cross contamination, no eating or drinking or answering your phones whilst your in the property, use your vehicle as your clean area rembering to de clothe (overalls) disinfect your hands and boots before entering each and every time.
As for your toilet it's unlikely you will soften it up with out using some sort of a strong cleaner or other but you've got to take into consideration the damage that this might cause to the toilet, I would probley bucket it, see if their is an outside sewage drain and empty it down their a bit at a time not to cause any blockages, don't use any metal products to clean or scrap the toilet cos this will mark and damage it.
As for attempting to clean the carpets if the guy was an alcoholic and possibly in the later stages he may also of been incontinent therefore if he's got any diseases of any sort those could well be in the carpet within his feceas or urine, using a portable carpet cleaner will contaminate the air and therefore put you at risk, carpets really need to be disposed of.
Their may well be vermin within the property (mice, rats etc) the tenant may well of been diabetic due to his drinking theirfore their may be needles or other medication laying about, think about your safety before you think about pricing the job, also your exposing your staff to an xtreme clean are they immunised to carry out such cleaning, not trying to put you off mate just trying to make you aware that it is a specialised job, try and gather as much information about the client as possible.
Now to the bit that you really wanna know pricing without seeing some photo's and knowing what size the property is, their are a lot of factors invoilved but a rough guild would be for a 2 bed property including a van load of waste £1200-£1500 at the lower end
Good luck
Richie