As others have said, spray with Glyphosate on a dry day (bit rare at this time of year, I know) and leave for the weeds to die off, respray anything that has managed to regrow and leave to die again. Then rotovate,
by Spring all that should be left are annual weeds, growing from this year's seeds and you should be able to hoe those off as the top soil dries out.
I always think it's worth killing all the perennial weeds completely, at first - then you have a clear plot to work with, even if you decide to go no-dig, or no chemicals, from then on.
Good luck.