Sounds like you need a weed eater , a pick, shovel, hoe, a good set of loppers. I think one can kill the hay by putting a tarp down, area by area , but then one still needs to worry about the seeds. Cardboard will also retard the light from germinating the seed and then one can build up the soil for the moss. I am a Texan , so I would find local advice also. Usually I just lurk around. My rock garden is a cactus garden on a hillside, so you can take my advise with a barrel of salt.

I might look at a dethatching rake, and see if that will help.

I'm guessing the easiest way to discourage assorted brambles and vines is with shade. If you allow the area to become reforested, I'll bet that will do the trick. Of course, you will have to keep the vines off the trees, especially the bittersweet.

It sounds like you need a land restoration formum. good luck on that one.I do that here . I have mountain ashe cedar out the wazoo in my canyon area That I need to trim about 1.5 acres a year. It is a tough job. the chainsaw is my best friend.Are you adverse yo poisons? one could paint the bases with something like Remedy on the ones that one can not pull out. I have poison oakand Green briar I have to attack this year.