I prefer scorzonera to asparagus; they're just wonderful.
Round here they getting a bad rap because they were forced onto people when they were kids
There are conflicting opinions floating around about whether you can still eat them after they've flowered; it may depend on how good your soil is.
If you're planning on using the seeds, be mindful of not only harvesting from the specimens that flower very early; it may lead to a deterioration in taste.
Replanting
should be possible, but they tend to bleed out very quickly if bruised.
And lastly: Don't start scratch-peeling them with rubber gloves on, turning the whole kitchen into a mess !
Wash them and steam them, then you can peel off the skin without much hassle (and without gloves).