We're in a similar situation.
We have NO family around, and we have 2 young children in day care.
Before getting laid off last year, we both had flexible schedules and could take off as needed. I no longer have that flexibility with my new company, so my husband has to do most of it. Even though my job could be done primarily from home, I have to follow company policy and take a full or 1/2 day off to cover the absence.
My direct manager has 3 children of his own, but his wife is SAHM, and his father owns the company, so we have to follow the company line closely.
I'm always very honest, but my husband has to do most of the accommodating. We're fortunate to have friends and neighbors that we can call in a real bind and help us out for a few hours.
I've also been staying late/coming in early on days that I know I'm going to have to take an extra long lunch to go to a doctor's appointment for the kids.
Being a working parent is a double-edged sword, and in a new company to me, I don't want them to perceive it as a weakness, so we make due as best as possible. 9 months in, I'm hoping things will level off a little.
We had a babysitter come to our house when our son was an infant - it was much harder. Yes, you don't have to rush to get them to day care at a certain time, but when she was sick or wanted to take vacation, we were stuck accommodating her and having to use our sick/personal time. I've found Day Care to be much more accommodating.
Check into the benefits as well. My previous company provided a benefit for emergency child care at no cost to us.
Good luck!