Here the same.. On some parts the garden is so wet, my feet slip away trying to walk it.
What I have been doing for years is, with a 'hand drill for soil' you know, one of these things you twist around and it digs it self in, dig holes as deep as I can get so the water will collect there. You can also make permanent ones by filling them with pebbles.
The garden we have now has a ..gully? around it. We started expanding it on one side so that side of the garden has good water draining. It really makes a big difference: we already have been able to plant the unions.
Maybe it is still helpful to drill holes but otherwise: for the next season.