Bald Spots. Any Hope?

My garden is on a slope.
It is also very uneven. I also have two active dogs with a third coming in a couple of months.
To get up the garden there are steps then a path then the shed. To the left of the shed there is a raied bit that has a huge bald spot and a few a bit further up, and there is also a hole!
Does my garden have any hope or am I just going to have very muddy winters until I win the lottery and can afford to flatten and astroturf it?!
I'm fed up of my garden looking like crap :(
We are on a low budget too which makes things hard.

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