I used to hate to fly, but, like you, didn't want to pass that fear on to my dd. So I hid it..died a thousand times in every flight!
But, I now fly pretty frequently, many times by myself.
Here's what I told my young dd to do when she got overly nervous while flying. Bring some magazines...they're shorter than books and hold your attention. Familiarize yourself with the sounds you'll hear while taking off and in the air (Google is your friend), get to the airport early...nothing is more stressful than being short on time, going through security!
While in the air, watch your flight attendants. If they're going about their business, you have nothing to fear.
If you hit any kind of turbulence...and just a small bump feels huge to an already nervous flier...keep in mind that airplanes are built for turbulence. It takes a lot to bring a plane down!! Not to mention, the pilots tend to welcome a little turbulence...it is much less boring for them! So, now they're really alert and having fun.
You really are safe in the air. I'm always tempted to make the drive from Mass to WDW, but drivers out there are whacky!!!