I'm trying to pick a laptop for working from home, where I'll be using remote desktop to connect to my machine at work. How important is it to have a good graphics card on the client machine (the laptop)?
It isn't all that important because your machine will be acting as a 'dumb terminal' because all of the rendering is preformed on the server you will be connecting to. Will you be using the Windows remote desktop or another solution such as VNC? I do believe that Windows Remote Desktop may preform some of the calculations on the clients machine for rendering window movements and such but nothing too serious.