I hope your Dad is doing well.
When on docetaxel, I experienced very mild, almost non-existent, side effects. No sickness etc, Only slight aches in some joints for a few hours for about 1 day on say day 3 after an infusion. These aches were easily dealt with by taking paracetamol.
The worse bit was self inflected: I choose to wear a cold cap and the first 5 mins gave me a frozen headache that I’d only ever had when scoffing an ice lolly as a lad. But I soon learnt to take a couple of painkillers 30 mins before wearing the cold cap and the cap meant I kept what little hair I had!
The routine at my hospital is that locals come in over 2 days and those from far away enjoy the one stop treatment. Bloods were taken and checked 1-2 hrs later and decision made on whether I returned the following day for the infusion.
My main advice is to hold onto the yellow card notifying medics that your dad is on chemo and therefore potentially vulnerable to infection. If your dad gets a sore throat, raised or lowered temperature or any of the other warning signs, check with your hotline and if you need to go to A$E for antibiotics make sure that the triage nurse reads (and understands) the yellow card, which essentially notifies medics that they are required to follow an emergency protocol that you get seen immediately. No waiting!
Best wishes. I hope this is of use.