You say you need someone else's proof and answers to know what to say about homeschooling your children, but what you really need is your own self confidence to just tell people what you are planning and then that's it. Once you are there, you will be a much better parent & teacher to your children at home and out in the world. If you are networking with the homeschooling community online or locally, you will find plenty of support, options and your kids will have lots of social situations to learn and grow from. The people in your life will either support you or have a different opinion, but that's their deal, not yours.
You don't say why you are set on homeschooling, but your kids are both still preschoolers, so what if one of them begs to go to kindergarden, longs for workbooks and a backpack and a classroom full of friends? Will you do what you are set on or consider your child and his/her best learning style? I'm certainly not trying to talk you out of homeschooling, but a parent also needs to have a certain amount of flexibility as our children grow and become the people we already know they are. (does that make sense?)
Many of my friends homeschool their children and are quite satisfied, but all of them went into it without that "I have to prove something to someone" issue that you have. It will make you second guess your every move, and as a mom we have enough of that, so work through that issue to find a place of peace and confidence within yourself. You are also very young, so learning along with your children will build knowledge and confidence in all of you. Enjoy finding a network of homeschoolers to share your experience with!
P. (mom of three boys ages 7,5,almost 3. My two older boys go to public school, and I never thought we'd do that, but it's been so fantastic for them. I couldn't be happier with their teachers, and just see them both growing and learning so much. My 5 year old has special needs and I really could not give him everything he needs at home; his teachers and therapists just delight in every interaction with him. There are so many special people in the world I'm glad to know! I also consider myself still very much involved in their learning life, so I don't just see it as sending them off to school, but more a collaborative effort in the best interest of my boys.)