I love my ASUS eeePC 900. I use it a lot. Right now my SO is using it a lot because all of his electronics decided to disappear or die within a week's time. It can go pretty much anywhere. It only gets about 3 hours of life when not plugged in, but that was enough for school. The smaller keyboard isn't that hard to get used to. I used my netbook for taking notes at university this last year, and so I was typing on it all the time. It's really not a big deal. What's weird is going back to the full keyboard after getting used to the reduced one
Even my eeePC 900 does all the things you want to do on a netbook, and quite well, I might add. When using it for school, it wasn't uncommon for me to be running an Internet browser (with video chat thanks to TFP

) and multiple Office applications at the same time (PowerPoint, OneNote, and Word, typically). So if whatever you choose has better specs than the eeePC 900, you should be golden
Personally, while I have a laptop now, I'm looking to ditch it for a desktop and use the netbook as my portable computer. While my laptop is a 15.4" model, it is significantly heavier and more of a pain to haul around than the netbook. The netbook is smaller than most of my college textbooks, and lighter too.