Once you have cleared and rotivatored, I would suggest digging in as much organic matter as you can get your hands on, then a decent sprinkle of something like Fish, Blood, and Bone.
As soon as you have pulled everything up, make sure you keep the area covered as weeds will love it! You can use pretty much anything that light can’t get through – newspaper/card/tarp. If you are planning on leaving the area clear for a while, newspaper would be my choice as it will rot down nicely.
I went for the full-on ‘rip it out and start again’ option. My garden is cleared, rotavated, and now covered for the winter. Can;t wait for the spring bulbs to appear in garden centres! I have a plan!!!