Decide from the start what's number one and stick to it. It's terrible to be caught between wanting to be with your baby and having to fulfill a professional or social obligation you were pressured to accept. No matter what. This removed the agony of trying to foresee the future, as well as feeling bad about letting clients or friends down. The choice is made in advance.
Life is easier.
Take defensive measures to protect your time. Write down a rote answer if you need the moral help deflecting unwanted requests for your time. Note that I did not confess I was actually drowning in the desire to lay on the floor pumping my baby's chubby legs up and down - this is not something childless people understand. Just lie and don't worry about it. Rely on longhand if you need to, and write while you are waiting at the doctor's office, relaxing in the bathtub or even while cooking dinner.