See this short post from a pastor/author I really respect:
How does a mother of young kids find time to read the Bible? My friend Ryan Kelly shares a helpful quote from Don Whitney who writes, "you may be in a situation that curtails many of your spiritual activities. You may be looking at many months or even years of such limitations. Do what you can. God does not love us more when we do more, nor less when we do less. He accepts us, not because of what we do for Him, but because of what He's done for us in Christ." I love the simplicity of that advice. Do what you can.
So busy moms--and dads--don't be discouraged by reading small amounts of Scripture, if that is legitimately all you are able to do. Help your spouse make some time to read and pray, even if it's just for a few minutes. And regardless of how much you're able to read, remember that God's love for you doesn't fluctuate based on the amount of Scripture you take in. It's helpful and important, but it's not a pre-requisite for God's approval. That was earned 100% on the cross by Christ.