Hey Dave,
Congrats on the new purchase! What's your background with photography?
From this one image, I have some input (fully recognizing that I'm not an authority of any kind):
1. Think a bit about where the main point of interest is. Here, it looks like you've focused on the center of the photo, which, because there's so much going on around it, just kind of gets lost in a big jumble. Given the lines in the photo (the main branch, the direction of some of the flowers) my eye gets pulled into the upper-right quadrant of the plant. I would have made that the subject. If you're using the center point to autofocus, you can always "lock it" by focusing on it, keeping your finger depressed, and reframing the shot.
2. Depth of field is starting to get there - the background is blurred nicely helping the plant to pop, but it might be a little bit shallow, as most of your subject is out of focus. This can be useful, but here it just seems a little confusing to me.
Beyond that, maybe try picking a subject that has a bit more contrast and is more defined - you've got a photo here of something not too interesting, which is nearly the same color of the background, and has tons of little details across the frame with nothing to really act as a main point of interest. Things to think about when creating a photograph.
Having said all that - congratulations on getting started. You're in for quite a journey!