This is part of the series which started with Accessing Cardbox without Windows.
We have tried two apps for connecting to Windows computers via Remote Desktop. Both of them work. One is free, and the other costs money.
The free app is AccessToGo. It claims to work on the iPhone as well but we have not tested this.
The paid app is iTeleport. It costs £13.99. A first impression is that it is quite feature-rich and complex.