Can anybody recommend a zoom lens that is compatible with a Canon powershot A40?

My experience with cameras are very little. So I need advice to improve my ability to take good photos of people and nature.

The A590IS with 8mp.

I just got this cam used,but not too sure how it works. I know it has a battery,but can you charge it with an adapter also? I don’t have a cord to recharge.Will I need a cord?

I was wondering if i could just use my camera for right now. If i can use my camera would you mind telling me how i would do it? Thanks!

I really want to get it for christmas. Thank you so much and happy holidays:)

Why is the video quality so poor on this camera? Are there settings to improve the video quality? I wish I could find my manual.

EBAY

I already tried to just plug it in but it said that it could not find the correct drive, and now nothing even comes up.

I have a sony cybershot DSC-W55 and out of no where yesterday it was flashing E:91:01 on the screen and my flash isnt working either, is there anyway to fix this?