These ideas are so often used that people have become numb to the message: God is ready to accept and provide for all of us. Even if we have turned away from Him, even if we have done terrible things, God's love is unending and always present. He loves you right now, in this moment, even if you just blasphemed against Him.
Some people are afraid of that kind of all-inclusive love. They turn away from it because they feel it's not possible or because, deep down, they feel unworthy of it. It is possible and all are worthy. Accept God's love and feel the peace it brings.