Yes, a laptop and a notebook are the same thing, just different names. A palmtop is basically a mobile device like a smart phone. I'd definitley go with a notebook/laptop if you spend 10+ hours a day in front of the computer, as a laptop has a much bigger keyboard, screen, and superior hardware.
Thanks Isabella, but the netbooks are very very small and I what I want it for is to run an online business from abroad. Can you recommend a notebook 14" minimum?
You should check out the Lenovo ThinkPad Edge 14". It has a 2.4 GHz Intel Core i5-520M Processor and 250 GB HDD. However, it is a very business oriented notebook and it does not have an optical drive. If an optical drive is an important feature for you, I can make some other suggestions.