My kids (with Daddy's help) bought me a new camera for mother's day

I already had an older powershot A570 Is ...this past year I have really started getting more into photography so I have found limitations with this old powershot. The DH and kids surprised me with (drum roll)
The powershot G10
I know not a DSLR but those things scare me LOL
I am a budding photographer and I like the powershots auto settings when I need it.
This new camera has more settings and gizmos then I know what to do with
I post here every once in a while but always feel shamed when I see some of the BEAUTIFUL photos you guys share!
I did have a few questions, if you wouldn't mind
1. Are there any books out that are easy to understand for the newer powershots? I have the owners manual but it isn't really all that clear for us beginners. I want to be able to use my new camera to its max but the owners manual confuses me LOL
2. My camera came with a neck strap. I am used to wrist straps BUT this camera has some weight to it and I am worried I will drop it in the parks

(I am a bit clumsy) NOW if I use the neck strap AND a camera bag I will most likely choke myself with both straps around my neck

I was *thinking* a waist pack but I am not big on looking like a dork with a fanny pack

How do you guys take the bigger cameras in the park for the day?
3. The battery pack (I am coming from AA's) is very new to me.
Best Buy doesn't carry my battery pack and I was told the only place I can find it is online (its a NB 7L)
The canon store sells it for 70 but I can get the same one on
amazon for 47.... is there any difference here? Its a huge cost difference ~ I want to make sure the amazon one is *good*. What about off brands? Are there cheaper battery pack off brands that work just as good and won't mess my camera up?
4. How do you take a pic of pets without getting the green eye?!

I keep practicing with my poor pets and they are about to seriously hurt me LOL the red eye reduction doesn't do any good. I tool the coolest picture of my cat but she had creepy eyes so I tried drawing them in but I suck at that

Here is the edited photo I took~ as you can see the eyeballs are even creepier than green eyes
5. Back to the battery pack ~ how long do they last? How many shots can I get out of a charge? I will play with it a bunch before our upcoming trip but I want to be able to gauge my limits here.
I have TONS AND TONS more but those are the basics as I just got it LOL