Do a google search for tweak ui. It can auto logon for you so it will boot up already logged in.. Are you using the microsoft RDC client (mstsc)?
Tweakui is great, but completely overkill for just doing this.
Start => Run => control userpasswords2 => uncheck "user must enter username and password to access this machine." Does that not sort it out?
Logmein is also completely and utterly overkill, it's ok if you want a nice place to manage all your PCs and you'll be accessing them from over the net regularly, but for quick access over the network, XP's built in stuff should be fine. It'll be quicker and far less bloated. Those sorts of remote access things on the net do have their place - but this doesn't sound like one of them.