Covering and wood chipping garden

Hi all. I just finished removing two enormous bay trees and another tree from my garden. They had been neglected for some time and grew unwieldy.

I have the three stumps still in the ground and hope to dig then out in the future for now they have been drilled into and copper nailed etc.

Anyway I would like to get on top of weeding next year and make this easier but covering the current patches of soil in the garden and have woodchips then I can go mad and buy loads of big pots.

What would you suggest in terms of membrane or tarp to prevent bindweed/forest weeds next year? I know this is only a temp solution but I just want to slowly get the garden in check due to limited time due to caring and other responsibilities.

Each patch is roughly 1.5 m by 4/5 m X2 Don’t mind going scorched earth. Just want something that will work effectively. I have a B&Q locally but not sure if this is the best value for the woodchipping etc. Any help would be amazing.