Know that there is no right answer for this, and what is right for your family today will not be what was right yesterday or will be right tomorrow.
It sounds like you are blessed with both flexibility and choice, which is a great position to be in.It also sounds like you haven't really found work that makes you happy and leaves you feeling challenged and fulfilled, and that's OK too.
You and your husband do what's right for your family, in the present. Can you afford to live on one income? Is that income yours or his, and are there benefits such as health insurance and retirement tied to either job? If one or both of you were to work part-time, would childcare and commuting costs eat up most of your income? Or would you be able to reduce those proportionally? Do you need to go back to school or is the education you have enough for your long-term career goals? Would it make sense and be financially possible to complete any necessary extra education now, taking care of the baby during the day and taking classes in the evening when your husband is home?
Honestly, I can tell you that even though I've always had to work due to financial need (I was a single mom, then a breadwinner while I was married and am back to single parenting again) I'm pretty sure I wouldn't have been able to stay home with my kids for long. For one, they would drive me crazy and two, the financial insecurity of depending on one income would have stressed me out. I think it makes a lot of sense for couples to have both parents working if for nothing else than to have an extra income in case of job loss, illness, disability, death or divorce. If the extra income truly is extra, then it can be socked away for retirement, college savings, and to build 12+ months of emergency savings. Then perhaps one parent could decide to stay home at least part-time when the kids are older and after-school schedules become complicated. Childcare for babies is actually relatively easy. It's childcare for before school, after school, managing sports and music and other activities after school, homework, projects, summers and school vacations that gets complex and expensive. I spend almost $1000 a month for sitters to cover the above while I'm in the office.
If I were you, I would sit down with your husband and map out your long-terms goals and dreams - will you have more children? Do you want to live where you do? Where will your child go to school? Do you need to move to get into a school district that you like or will you pay for private school? Do you need to make any major purchases in the future (new car, etc.)? Will you be caring for aging parents? What are your goals for retirement, college and emergency savings? How much is childcare? Do either of you need advanced degrees? How much debt and how will you pay it off? Does he like his career? What would your ideal career look like?
Then when you have all of that info, you can make a decision based on what's right for your family today, not what your past experience and not what works for his relatives.