I just wanted to plant one little seed with you for right now. You seam very concerned that you will not teach them something that they need to know. The only thing that we really need to learn in life is God's love. Now the reality of learning God's love is by learning about his earth and everything in it. I get so excited that it becomes hard to pick my words. Forgive me. My point goes back to basic Baltimore Catechism. Why did God make you? God made me to know Him, love Him, and serve Him in this world so that I can be happy with Him in the next. (or whatever) The point is that all your children must truly learn is the path to heaven. Often the school setting (even a Catholic or private school) does more harm than good in that ultimate goal of heaven.
So before we even begin to talk about programs, tests, books, or even the social issues I encourage you and your husband to look at our faith. You will find the answer there. Read the promises that you make during your child's baptism. Study the graces that are freely given to the parents who bring their child to Him. Read the catechism on baptism. Read what JP II said about the parents responsibility on education of a child. Refresh your marriage vows. Look over them. During a Catholic wedding we promise to raise our children in Him.
The grace to know what to do is given to the parents. Only mom and dad will know what is best. Don't let a grandparent, aunt or friend make that decision. Ultimately I leave that to dad as head of the family. God gives him the grace not me. That doesn't mean leave it up to him it just means that you might be surprised that while you worry about the detaills your husband might become confidant one way or another. Don't fight his confidence get strength from him. You may start homeschooling right away and you may do it in two years, you might home school for one and put them back. Just be open. God will let you know.
It does sound like He is guiding you. Do not worry. You, the Mom and Dad of a child of God can not mess up. You are not doing this alone. You will not fail. God will never allow it. What ever happens will be guided as long as you are open to it. No one will ever care about the success of your children academically or spiritually as much as you two. In my opinion you two, dad making the major decisions and mom faithfully caring them out (Just like St. Joseph leaving in the middle of the night with Mary having to make a new home.) are the only ones qualified to educate your children. Degrees do not matter. Our beautiful faith tells us that the grace to care for a child is given to us at marriage. It is a promise.
I am not trying to sound all crazy but it is the truth. You will need to concentrate on how to carry out that education. Realizing that you are the parent is sometimes the hardest thing in making the decision. I am sorry to ramble. I am just so excited every time I hear that a faithful person is trying to discern homeschooling. It is a gift from God. I cannot imagine sending a child to a stranger to care for the details that come naturally to me. Our culture tells us the opposite. It makes me angry to think about it.
In short: YES you can do it, you are called to it by baptism and marriage, you will not fail, you will love it!!!! Don't worry. Enjoy the process. I have found that when God starts to pull at your heart. The best thing to do is sit back and enjoy it. The road may get rocky but the bumps are what make the ride fun, just ask the kids who sit in the back seat.