I have been using LogMeIn previously to remotely connect to my Tablet PC or Desktop at home for sometime. Like I mentioned earlier the free version was sufficient for my needs. They have an iPhone app but it costs $30. I don’t remotely connect often to shell out 30 bucks.
Recently I found TeamViewer via Download Squad. TeamViewer is free for personal use and has a free iPhone app too. It works great. Now if I need to look at some documents on my home computer I can just fire up the app in my iPhone and find it. Nice. Should be interesting to see how this works on an iPad.