Find a better, less busy background.
If you don't have a tripod, put some boxes on a table to get the height you want.
Use a bag of beans or something similar to position the camera.
Use manual focus...you will need a stand in of some sort the set your focus, even a broom.
The broom should be about where your eyes will be.
Use an aperture of 5.6 to 8 to make sure you get your face focused.
Use your ten second timer.
Run and knock the broom out of the way and quickly strike a pose that shows your character, because I am sure you are not as boring as you look in that image.
You have a big advantage as your cam has a flip screen! Making it over 9000 times easier as you can see what you are photographing. But your doing well, and I hope your learning well!
All good info. It was just a snapshot of you with your toy, not a self portrait IMO.
show the joy of having your camera. I'm sure you have a great smile, but you also have a good serious face to me...so do one of each...an intriguing/serious look, and have fun making them