</font><font color="blue" class="small">( Re the electrical thing, I think my best bet is to pull 6/6/6/10 wire through the existing 3/4 conduit (tight, but I believe its NEC compliant), and then just extend the underground service line to the barn. )</font>
If the PVC conduit is schedule 40, you can do it using THHN insulated conductors. ( I wouldn't want to.) If it is schedule 80, you can't. The code allows for splices. Make sure you purchase splicing materials listed for direct burial.
If it were me, I would get a trencher and run 1" or larger conduit, or install direct burial cable. If you have a friend who is an electrician, ask him to help you. You might also consider hiring a licensed elecrtician, especially if permits and inspections are required. Some jurisdictions will allow home owners to do their own wiring with a H.O. permit. The electrical inspection is for your own safety and the safety of your family and others who will use the barn.
Lots of home owners are capable of doing quality electrical installations, however, I have volumes of horror stories concerning DIY wiring. Not to lecture, but please make sure you know what you are doing and do it safely.