Hi Nat,
Day cleaning is gaining wide acceptance throughout the industry, you will find as richyvezy says all the problems that go with this.
Be sure to allow extra time for stoppages which cannot be avoided, when their staff have to answer telephones, or when you find someone on the loo etc, and be sure to figure this extra time into your final price.
Your own observations on your prospect not getting the biggest bang for their buck, is again in my opinion, spot on.
You should also ensure that you have all Health & Safety, Insurance etc nailed down tight, as the more people you have on site, the greater the risks, so please inform your insurance company that your are engaged in day cleaning.
Remember, insurance covers you in case of accidents, it will not protect you from either your own staffs stupidity, or your client's. When we offer this service to our own client's we get them to issue their own staff with a form explaining our safety measures, and each of our client's employee's signs and dates this form, so that if for example, a member of the client's staff ignore a "Wet Floor" sign, we are pretty much covered.
Also ensure that at all times safety signs are used, please remember to leave wet floor signs outside kitchen, toilet doors while the floors are still wet, not just whilst working in those area's. A flat mopping system might well go some way to lessen the risks in these area's.
Whilst on site, during your survey, try to chat to the staff, not just the person showing you round, this way, you may well be able to gauge, just how "awkward" or not they are going to be while your staff are cleaning, dont forget to ask, them politely, why they are set on day cleaning, is it because of problems in the past? Or is there some other reason? Good luck!
Regards,
Rob