I admire you for attempting this. On the days where my wife is working I get very little done during the day. I am lucky in that I consult to a company that is in a different time zone to me, so working during the day is not a necessity. I find, apart from his sleep times, he needs almost constant attention, especially when he starts crawling (which is any day now). The only spare time I have is when he is sleeping and by and large I try to do some housework during that time. There are days like today where I had a significant amount I needed to get done, and I made a good go of that during his first sleep and am going to make progress now he is back in bed.
Up to about 4 or 5 months you can just put them down somewhere and do other things, but it does not continue ad infinitum (perhaps unfortunately
).
It is good that your clients are supportive, as is my employer.
Good luck to you as well.