for squirrel you can use a variety of guns: 22lr, 12ga, 20 ga, hi-powered pellet gun, or a .17
you can eat squirrels if you want. any action shotgun will work. single shot, pump, semi, etc.
for yote's, if you plan on keeping the pelt i wouldn't use a 30-06. go with a 22-250. if you aren't trying to sell the pelt for money, the 30-06 will be fine. it's just over-kill an not necessary. after you kill a yote there are basically two things you can do. leave it, or try to sell the pelt.
check out
www.varmintal.com for tons of information on calling, hunting, which calls to use, etc. for yote's
hope that helped you. good luck