It's been quite a few years, our boys are 20 & 17 now. It was rough but we used home day cares for both kids. Not primarily for lower cost, though that was an added perk, but mostly that they don't close for snow and there's no "turnover" like a public day care. I work in a hospital and need to be there regardless of the weather so I couldn't use a public day care that most likely would close on snow days. They were licensed and paid taxes so we could still claim that $ on our tax return. We paid $135/week for child #1 and $150/week for child #2. Price stayed the same from beginning to end.
Our kids are 3.25 years apart which helped. Factoring in maternity leave, it was only 2 years that we had 2 in day care.
My working expenses were (and still are) unusually low. I wear scrubs and sneakers which at work we joke that it's really only 1 step up from pajamas. Even today they are $27 per set x 5 and they last around 2-3 years. I take a commuter train into Philly which is $5/day, taken out of my pay pretax. So no bridge toll or parking costs. Also because I catch the train close to home (<3 miles each way) my car insurance is rated for "pleasure use" which is the lowest cost it can be. Also because of this, I put very few miles on my car. It's 11 years old and just turned over 53,000 miles.
I guess it depends what type of job you work and what your income is but I could still save 3% for retirement and have enough to pay for day care plus our mortgage. Back then that included an escrow account for property taxes (in NJ that means grab your ankles) and HO insurance. I earned, and still do, more than dh and carried excellent health insurance so if any of us was going to stay home, it wouldn't be me.
Also dh would sometimes get laid off during winter so my job was always the reliable one. The same week we bought our home, ds#1 was born. I was overdue pregnant at settlement. Two weeks later, dh was laid off. I was collecting disability and he was collecting unemployment and we hadn't even made our 1st mortgage payment. Then, again dh was laid off through most of my pregnancy with #2ds. I think at one point we had 2 in day care plus 2 car payments, and a cleaning service. (Only kept that til #2 was 10). We soon figured out that we should only have 1 car payment at a time and would keep each car at least 10 years to make that happen.
We both did, and still do, pack breakfast and lunch from home. Our house is small, probably around 1600 sf. but we make it work.
Maybe for people living in the city you could give up a car to stay home but where we live it would make life miserable. I could walk a mile and still not be outside of our subdivision.
We tried to look at it like a car loan: 5 years and you're done. Then there was before/after school care and day camp once they reached age 5 but that was still way cheaper than day care.
It was stressful but mostly stressed out for time for myself; bills were always paid on time and I spent every minute home with the kids. If we had tried to live on just dh's pay, we would still have been stressed out but financially, with more time than money. I tried to work out a budget to go part time. My work charges a lot more for PTers and IIRC, we would have had about $50/week leftover after just monthly bills were paid. This didn't include all the other miscellaneous things like birthday gifts, hair cuts, Christmas shopping, retirement savings, oil changes, etc. that are not a monthly bill. No way.
I have a coworker who relied heavily on credit cards so that she could be home with her kids while they were little, til her youngest was 10. Now she has a huge debt to pay back and at 50+ hasn't saved a dime for retirement.
I did what I needed to do for peace of mind.

(Still managed to rack up too much cc debt but that was due to lack of discipline. No more of that now. Gone and I'll never do that again.)
Good luck to you in your decision.