Questions for you about grace

I've been meaning to post something like this for a while. It's pretty obvious that the "theme" of the various things I do, such as my website, blog, video program, Grace Walk Radio program/podcast - can pretty much be boiled down to "growing in grace." I don't think of myself as narrow-minded, but I do know that my focus tends to remain on this specific target when it comes to what my heart longs to grow in and share and discuss with others. Lord willing, there will be a book someday. He's planted that in my heart, and I would bet there are probably several books in me that are waiting to get out.

This "theme" is woven throughout the Bible, and some of the cornerstone verses that I love to share include Hebrews 13:9 ("it is good that the heart be established by grace"), 2 Peter 3:18 ("grow in grace, and in the knowledge of our Lord and Savior Jesus Christ") and Colossians 2:7 ("let your roots grow down into him and draw up nourishment from him").

My questions are very simple, but I know that the "answers" vary and can take many directions beyond the way that I've grown to understand things, so I think it would be great to hear what you have to say to these questions:

What does "grace" mean? What does it mean to have your heart established in grace? What does it mean to grow in grace? Basically, what comes to mind when you think of these things?

I'm not looking for any specific "correct" answer(s), although of course I don't want to stray away from biblical truth. But in your walk with Jesus and in your study of the Bible, what have you learned? What are your thoughts, experiences, etc? Also, do you have any questions that perhaps others could provide some help with? Feel free to be as short or as lengthy as you want in the comments section here. Perhaps even write about it on your own blog and share your link here.