We have a family of 3, daughter is 14. We all 3 have Dell laptops. We LOVE them. We also have an old desktop.
My daughter and I have had our Dell's about 3 yrs. I have a small XPS M1210 and LOVE it. Daughter's is a little bigger, more sturdy Inspiron. Hubby just bought his 3rd Dell laptop and I think it is called a Studio. Hubby has also had the Inspiron and Latitude.
We did purchase the top of the line warranty program which is great. if you need any service, the Dell rep is at your home within 24 hrs to do any type repair. Also, each year, we get a new battery under this warranty, batteries are $150 retail. We've only had minor issues and to be honest, it was daughter's laptop because she would not close it when she picked it up and a screw came out which loosened the hinge.
The DVD drive is good to have. We have used the laptops on flights and watched movies, played games, etc. If you can, get the student version of office and a good security feature to protect against virus, etc. We all have Vista and sometimes it is a little quirky, but overall a good product.
We bought daughter's and my computers through Dell. Hubby bought his at Best Buy. We LOVE Best Buy. He still gets the black tie service warranty.
Best Buy has some great pricing on laptops. Hubby's computer was very reasonably priced. Prices have come WAY down on these products.
Our expectation is to use the computers about 4-5 yrs (if we are lucky) then upgrade. We will upgrade daughter in Sr high to get her through college. Our motto is to buy the BEST product available that we can afford (tip: if you offer cash, you can sometimes get a discount)
I think it is great that you've exposed your daughter to the computer. My daughter was on the computer around 2 and LOVES it. She runs circles around me with power point, etc. Her computers have really helped her with her school work.
Good luck and I hope your surgery goes well.