For most women around the world, the option of having this decision is not one that would cross their minds. Most women throughout time have had to work "outside" the home even if it meant tending their gardens, milking the cows, feeding and slaughtering the fowl.
I make no claims of being anyone who can give advice about children or child rearing, but I can respond with experience and tales.
I have three sons, 19,16, and 10. I wanted to be a stay at home mom. I was for the first nine months of my life. The twists and turns of life made my staying at home financially impossible.
The transition to working mom was heart wrenching for me, but my little one loved the new activities, new people, new foods, etc.
Your children will be fine if you work outside the home and they will be fine if you stay at home. Both scenarios require time and attention, both have their up sides and both have their down sides. I could list lots of those sides, but they vary from family to family, so you will need to consider them in relation to your family.
Ultimately your children need to know you love them, they need to know the behavioral limits of the family, and they need to be safe. It is not a guarantee that children who are in day care will be harmed OR that children who are at home are safe. (Recall most people who are molested as children are harmed by people they know as close family friends or family members.)
Talk to your children, love them, expect them to screw up, hold them accountable for their foibles, and again love them.
Stay at home/work outside the home? Do what is best for your family. No matter what you do, you will be tired, you will be happy, your children will need more than you can give, you will want to give things they do not want, and everyone grows up!
It's a wild wonderful ride. Enjoy.