Allotment weeds- what to do now?

Mrs_Money

I have a lot of what look like annual weeds on my allotment (small blue flowers and mauve flowers, low growing) and as its the middle of winter I had hoped they would die!
Didn't have them last winter and am aware that if I don't get rid of them they may seed. The ground is far too wet to walk on really, so weeding seems difficult, I've had a go at pulling them, but with all the wet muddy clay they mainly just break off at the roots! We need to fertilise the empty beds and when dry enough rotivate, but OH says it can't be rotivated with all those weeds!
We also have the usual culprits - bindweed and creeping buttercup, but we usually manage them by physical removal over the growing season and are slowly getting on top of them. These others are just like a green carpet over everything and have arrived since late November.
Any suggestions? We don't really want to spray with weedkiller and anyway, it won't stop raining so probably couldn't if we wanted to.

wellused

Let them grow and dig them in later its all good green manure.

trollopscarletwoman

Yes, when possible I would dig them in.

When dry enough I would fork/pull out the larger and more pernicious looking ones.

More pernicious ones-If I don't like the look of it I use harsh treatment. Not scientific but hey ho!