my suggestion is buy a hunting lic and get the hunting book that shows you public hunting lands, every state has one(I'm in PA, only part of MI I hunted was NE corner area of the state)
but once you find public lands you can then go and have a look at them and see what's about
this time of yr, about all I know of you can LEGALLY hunt will be crows and coyotes mostly
but again, your hunting lic rules and regulations booklet will tell you all season and dates and what all lic you NEED to have to hunt each species
all the species you listed can be fun to hunt, but pending on what area and what's about, will determine more of what you will have luck with harvesting!!
NOT all parts of the state are prime for any of the species you listed!