Welcome and Merry Christmas.
If I was you, I would dig/pull up all the big stuff, then cover and leave until Jan/Feb.
Then pull the sheeting back 4ft at a time and dig, then pull another 4ft back and dig again and keep going until it is all dug.
In the meantime if you have a sun room/insulated greenhouse, you could start to sow the seeds that you want and that are suitable for sowing in Jan and then when you complete each section of the dig, "plant" and go.
Load some photos as always helps.
Create a blog to use as a diary system and your sucesses/failures, as this helps for the following year and also try and note the weather as this could also help the following year.
www.blogger.comGood luck.