Terminal Services connection through IE

Hi, everyone. This is the story:
I have users connecting to applications on servers through Internet Explorer. I built a bunch of links on a website that activate the ICA client installed on their machines.
I want to switch from using Citrix to using Windows2003 Enterprise Server's Terminal Services. My users are coming from both inside and outside the organization. They are using all kinds of OSes, browsers and languages.
The questions are:
- is there a catch I didn't see (like will it work only with IE?);
- is there a way I can change the existing web site in such a way, that instead of going to ICA, it will go to RDP?

TIA.

 

It's been a while since I messed with it but I think you can run the TS client through a web brouser.
My memory is a little foggy on this but I'm thinking IIS can hand out the TS client.