If he's working from home, a nanny is going to do his nut in (or his big nuts lol).
It doesn't seem to be a common thing here but a childminder is far more flexible in my opinion. My understanding is that a nanny comes to your home? A childminder is usually a mother with her own children and your baby goes to their home.
You can find childminders who are willing to collect the baby and drop them back (or even just one or the other).
With two full-time careers, an experienced parent is going to be very important during times of illness. I would never have been able to work without a childminder. Trying to get someone to come to my home would have been next to impossible as you then really need to be paying a decent, liveable, workable salary. So instead of £160 a week, you'd need to pay the minimum wage at the very least.
I loved the comment from someone early in the thread about 6 month old babies not needing socialisation and that all they do is sit and chew on things in a nursery. That is kind of the reality. From about 3 onwards, I think the structure of a formal nursery setting can be useful, but before then, unless it's your only option, a home based childcare setting would be the ideal (imo).
Different people like different childcare set-ups but during my time, I found that a mother with her own children was far more experienced than me for a start and than even a qualified nanny. They have the added benefit of being part of a wider family in the childminder's home and having an experienced parent minding them and they're usually involved in school runs, sports trips and everything else that goes on in a family home. There were things that my childminder knew which I wouldn't have known such as picking on the fact that dd had chickenpox, potty training, best treatments for nappy rash and all that sort of stuff that an experienced mother will have gone through and know all about! I did not get on well with her first ever childminder as she had never had children and had strange notions about child-rearing. You need to find one with a parenting philosophy as close to your own as possible (within reason). One who respects that YOU are their mother (not them), one who will happily tell you about your baby's day, one who will encourage them and treat them as one of their own (while not overstepping). It's a delicate balance.
The other thing to consider is that occasionally a scenario may come up where both you and Dad need to work late. Have you that flexibility with a nursery?
My recommendation would be to advertise for a childminder. One who could do the pick-up or drop-off would be a benefit. My personal preference is for a childminder who already has her own children. Go to the home for a casual 'interview' where you'll see how they interact with their own children, how they interact with the baby etc. etc. Explain your work commitments (yours and Billy's) and ensure that they are happy to work around those schedules.