Whole bratwurst versus cut-up bratwurst

I do not like currywurst. I prefer regular bratwurst with senf,
especially Thüringer Rostbratwurst. I noticed that in Berlin the
usual custom seems to be to cut-up bratwurst in bite-sized pieces and
add a toothpick as a utensil. Would someone please tell me the German
for "cut-up" versus "whole" so I can ask the vendor to just give me a
whole (uncut) bratwurst? I can look it up in a dictionary, but I want
to know the vernacular used by vendors to make it easier. I speak
just enough German to be dangerous.

Is cut-up bratwurst a custom in other cities or only in Berlin?

Nürnberg has yummy pinkie-sized bratwurst. What kind of bratwurst is
typical in Hamburg? In Stuttgart?

Thanks in advance.