To get yourself a Red Cricket pet, all you have to do is become Exalted with Sho of the Tillers. Then she'll mail it to you (and put an orange tree on your farm).
To get exalted, you can give her Lovely Apples which you'll find randomly in Dark Soil all around the Heartland. She also gives out dailies every once-n-a-while and other quests depending on your friendship level (read: rep). You can also give her a stack of 5 Eternal Blossom Fish once a day for a big friendship/rep boost.