You're on the right track! You're nice and steady between 10 and 1 (even though starting out too high), which is what your basal should do. Nighttime needs more tweaking.
One thing to remember is it takes 1-2 hours for a basal rate change to make itself felt, so you need to change your basal a couple of hours BEFORE you have the problem. So if you figure out your BG starts to rise at 5 am, you want to up your basal starting at 4 or even 3 am.
Do consult with your RN as you make these changes, especially at first. It's natural to feel impatient, but it's safer if you change your basal in small increments. You'll be surprised how much of a difference a tenth of a unit can make.
It didn't actually take us long to get my son squared away when he started on the pump, but he was 13 at the time, growing, coming off his honeymoon, and in the thick of puberty, so we've been changing things ever since!
As for how many, it's however many work for you. Some people only have one or two. Some people have ten!
mom to Aaron, 18, dx'd Sept 05