If you are in an established lawn area, a small walk behind trencher may be the way to go. Most commercial rent-a-centers have them and they fit in the back of a pick up.
They dig a trench about 4 inches wide and go up to about 24 inches deep. Much less lawn damage than any other way we've seen. However, they do not work well in soil full of rock or stone. If there's alot of stone, or your not in an established lawn area a small backhoe is most likely the way to go.
If we are in a lawn area and we want to disturb as little lawn as possible, we walk our equipment on plywood. If we're running a trencher, we place plywood on both sides of the trench and most of the excavated material stays off the lawn and on a hard surface for pick up. Four to Six sheets should do it, depending on how much help you have. We use a small dump trailer and turf tires to move the dirt if we are using imported sand as backfill.
Double check the location of all underground services before you dig. Ripping into an underground power line or fiber optics can be enlightening and very costly.
I always layout the entire system with lime before we dig. This forces me to rethink the layout, rethink underground utility locations and helps prevent painting myself into a corner, so to speak.
You may to consider using ABS rather than PVC pipe. ABS is more flexible, impact resistant, freeze resistant, easier to install and repair along with being less expensive.
Backfill takes time when done correctly but saves alot of problems down the road. When excavating a narrow trench, I always consider using sand as a backfill material, unless the existing soil is free flowing, dry and free of stone. Sand cushens the pipe, can be compacted easily and saves alot of time. I backfill the trench with "compacted' sand to about 3 inches from the top. The remainder is backfilled with topsoil.
Note the word compacted. Sooo many times I've seen people just push backfill into a trench in a lawn or driveway area. They'll be back adding more grave,topsoil and seed in about a year. They don't have enough time to do it right the first time but someone will have to take time to do it again.