I've never had a problem with grass wear in my ACNL town, and this is coming from someone whose City Folk town was a sand pit. I recommend making paths because you can't see the grass wear under them and you won't be wearing down the grass off of your paths much if you don't run off of the paths. As others have pointed out, time traveling does quickly restore your grass as long as you know what you are doing to avoid having villagers move out.