Writing an editor that works cross-platform can be difficult, but, you should create your own framework as you do it, as it is a large project.
If you just want custom icons, that will depend on how long it takes you to make them, but, to get some basic functionality isn't that hard, probably less than 40 hrs of work if you know what you are doing.
In Unix writing your own shell used to be a rite of passage, in javascript it may be writing your own editor. :)
Where it gets tricky is if I have
<b>some text</b><i>more text</i>
and I decide to remove the tags from this text, then how to fix it will get tricky.
If you want to use only css then it gets to be more of a problem as you are grouping text from span tags, and fixing css classes, while the user is continuing to make changes.
I am dealing with this currently as I want an editor that works in XHTML2.0, and it is not a trivial issue, much harder than it is to do in a desktop application.
I would suggest getting it to work on Firefox 3 and Safari first, then, once it is working, go back and add in the code to get it to work on IE8, and if you want IE7, since MS is pushing IE8 out as a critical update now.