Don't forget that google's your best friend.
If you had popped your thread title "XP HOME VS XP PRO" in and hit search you'd have found this gem:
http://www.microsoft.com/windowsxp/h...choosing2.mspx which has even a handy chart for comparison.
However, I bet you're more asking the question "I want to understand how the differences in these software will affect how I use the PC?" which is more complicated and less easily answered by charts.
As Dilbert1234567 said, you won't have remote desktop with Home. I can count the times I've remoted to my home PC on one hand. Not likely to be a problem.
You can't join a domain or use the group policies set by a domain. Not applicable either, unless you're some kind of nutty home user who's going to build his own domain controller and home domain.
There's precious few reasons to pay extra for Pro, assuming you're going to do home office/surfing/homework. If you're an aspiring geek, which is possible, and given Pro is so cheap these days, then blowing an extra few bucks gives you more to play with.