If rabbits are living in and feasting on your raised garden beds, check out this tutorial for a raised garden bed lift off fence. You can make this your self and when you need to get in there to weed or plant you can just lift it or a section of it off for easy access.
It is made with hardware cloth and wood. The frame has legs that slide down into pvc pie that you have affixed to the inside of the garden bed box. While adding the pvc would be easiest before adding soil to your raised bed, it can be done after with a little work. This fence will let in sunlight and the bees but rabbits will not be able to get in there anymore. This tutorial is from Alternative Energy Gardening .
If you are also having problems with birds or only having problems with birds getting onto your raised garden bed you might try making these Homemade Screened Pest Cover for Raised Garden Beds. If deer are the pest getting into your raised garden bed you can follow How to Build a Deer Proof Raised Garden Beds. So if you have pretty much given up trying to garden due to pests getting in then you can now build a raised garden bed or multiple beds and then add the critter repelling method that you need and get back to raising some home grown produce.
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