Becoming a Servant in this Day and Age?

I've been reading a wonderful book series called, Mark of the Lion by Francine Rivers.  In this series there is a christian servant girl, named Hadassah, who serves the family who bought her with her whole heart.  In another book that I'm reading for school, The Purpose Driven Life, it talks about how we have to have a servant heart to serve the Lord.  It made me start thinking about how many little things I do every day that serve myself when I could be serving others.  For example, I'll sit down to read my book while my mom will start dinner,  I'll be so engrossed in my book and thinking about how I just need to finish this chapter that I won't see if she needs any help.  Or, since my dad is on crutches,  when my dad needs something, like a glass of water, I wait to see if one of my sisters wants to get up and get it for him instead of moving out of my seat to do something so small.
Lately, I've been praying that the Lord will make me more like Hadassah and give me a servant heart, because if we can't even take 10 seconds out of our day to get someone a glass of water how is the Lord going to trust us with bigger tasks.