When I first turned back to God I would cry over everything! For the first few months anytime I would hear something about God's love or provision or protection the tears would flow once again. I wouldn't be able to stop them, after a while I would get irritated and pray "geez God not more tears, I'm tired of crying!"
As I've grown closer to God He's been talking to me about why I had sooo many tears to shed in the beginning. My heart was so hard and closed off that everytime my heart even opened a little, God would slip in some love which would make me cry.
It's amazing to me now how much I didn't even notice the hardness, the walls I had built up. The tears have slowed down latley but when I get in His prescence and feel His loving arms around me the tears start again. There's nothing in this world better than God's love.
Now when I cry I praise God even more. He's touching my heart with love.
Here I am! I stand at the door and knock. If anyone hears my voice and opens the door, I will come in and eat with him and he with me. Revelation 3:20
That invitation is not just for the unbelievers, it's for everyone - we all have peices of our heart that need some mending. God is not pushy though, He takes it one step at a time and waits until your heart is in a position to accept the love.
When you cry over something you read or hear and it teaches you something about God, praise Him because your heart opened and God was able to do some work and He spoke a little love in to your life.