This is rather a hassle, but keep in mind that you've got what ammounts to a fairly old computer--I'm assuming between an iBook 500 (4 1/2 years old) and 700 (3 years old)--running the equivalent of Windows ME, which was good for even less than 10.1. That said, here are some recommendations, which sound like a lot but for an investment of a few bucks and a bit of time you can upgrade yourself into a very nice computer.
As said, 10.1 really isn't very good--10.2 (aka Jaguar) is much better, and either 10.3 or 10.4 (aka Panther and Tiger, the newest) are both night-and-day better. 10.1 is old enough that a lot of software doesn't even support it--10.2.8 is the minimum for a lot these days (in part because 10.2 was where OSX went mainstream).
If you really want to save money, you can get a legit 10.2 upgrade disc from a place like
MegaMacs (
direct link) for about $25, but
10.3 on DVD (if you have a DVD drive--CDs cost more) can be had for $30. A copy of Tiger, being the current version, will run you about $90 unless you're a student.
Further, if your iBook has less than 256MB of RAM in it (if it's stock, it will--check "About This Mac" under the apple menu) do yourself a favor and add a bit--at least 384MB (buy a 256MB stick if it has 128MB built in) will make a HUGE difference (I don't even know if you can run iTunes with less than that). It probably won't cost you much more than $30.
Again, this may seem like a lot to go through, but if I had your computer I wouldn't hesitate to spend a few bucks on RAM and at least a copy of 10.3, which will turn it into a nice rounded laptop. (Actually, were I you I'd also splurge on a new hard drive and a wireless card if it doesn't have one already, but that's probably more trouble than it's worth at this point.)