It sounds like you need to change the environment around your house to deter the animals that are making their homes on your property.
What animals need on a daily basis is specific for each species, but it generally comes down to water, food, and a safe place to sleep.
If you have a fountain or pond on your property then the water source may be one thing that is drawing the animals in. Food for rabbits means a type of emergent vegetation such as shrubs and grasses. They also like berries, vegetables, and fruit. Do you have any of these types of plants, shrubs, or trees on your property?
You also mentioned a bat problem. First off, they are nocturnal and sleep during the day. If you do not see them during the day, then they are just visiting your front porch at night. By leaving your front porch light on you are drawing the insects to your porch and the bats most likely are following their food. Turn off all outside lights and make sure your windows are well covered with curtains to prevent your inside lights from drawing the insects to your windows.
If you do see the bats rooting on the ceiling of your porch during the day you need to make the place they have been roosting into an uncomfortable area to stay. Try hanging a wind chime, table place settings, or something noisy in the spot on your porch. A balloon is a great idea, anchor it so it will bounce along the ceiling of your porch in the corner they sleep in.
Something to think about: bats right now are becoming an endangered species due to a new fungus that grows on their noses while they hibernate throughout the winter. The fungus causes the immune system to use up the stored energy and the bats wake up out of hibernation before the end of winter. Most freeze or starve to death because they wake up before spring arrives and the insects have hatched or emerged from their own hibernation. Try calling your local MSU Extension office and see if they know of a bat rescue organization that will come out and remove the bats for free. Many volunteers are working hard to save these amazing mammals.
For some of the other animals that have been moving onto your property, you will want to put something under your bushes that crinkles as they walk on it. Try heavy duty aluminum foil staked down on the corners with rocks. The animals won't like the feel of the foil on their paws and the sound will startle them. Move the foil to a different area under the bush every week or couple of weeks to prevent the animals from adjusting to the new landscape.
Try setting your sprinklers to turn on near the bushes in the evening when most of the animals you described will be out in your yard. This will make your yard an undesirable place to be and they will eventually move out of the area.
Skunks are a smelly type of feline, so if you have any areas the neighbor cats like on your property, you need to find out what is drawing them to that particular spot and remove the problem plant, bush, home, water-source, etc.
If you have any other questions please feel free to contact me or your local MSU Extension office. The employees at the office will have other ideas to help drive the animals away and keep them away from your property.
Good luck and let us know how it goes!