My question involves traffic court in the State of: CA

I am still contemplating whether to fight my CVC22349(b) I received by TBWD. I have read in several places that as long as I go to court to plead not guilty then I still maintain my right to a speed trial. In practice though how does this work:

a) Will they potentially get me to sign something at court waiving this right?
b) When I plead in front of a judge do I just say not guilty and that I want to proceed with TBWD?
c) When I submit my actual TBWD do I need some paperwork at that point asserting my right to a speedy trial or do I only do something if they take longer than 45 days to decide on my case?
d) I'm assuming my deadline to submit my TBWD is 30 days from pleading to submitted my TBWD. Does the 45 days start from the day I submit the TBWD or from the day I plead?

Thanks so much in advance!