Welcome James, so exciting buying a new telescope, especially a first one!
Both of those are good choices and both are going to need a battery in that regard they are both on a level playing field. Personally, I would suggest getting the CPC 1100 XLT not because it is bigger but solely because it is on a fork mount as opposed to a single arm. Yes, bigger will capture more light but the proper fork arm will give much greater stability. I have never used either of those telescopes myself so I am just going off a theoretical case.
The biggest downside of the CPC 1100 is going to be its overall weight. The extra arm will increase stability, especially if you end up putting heavy wide field eye pieces on the back, but it will be considerably heavier. Plus, if you ever want to get into astrophotography and have the 9.25", I don't believe that the mount will be up to anything other than planetary with a webcam.
I noticed the difference between my 8" and 10" LX200 SCT. I could pick up my 8" with one arm but with the 10" I need to brace myself and lift. So if you think you're going to have problems lifting the CPC 1100, I'd go with the 9.25".
Remember, the BEST telescope is the one that you use