From Z to L visa and hukou jurisdiction

I have lived in Beijing for 12 years, the last ten of which with a biannual Z-type. Due to change in job, I will have to renew my Z by converting it to an L. My wife and I have been married for 11 years but we do not however live in the jurisdiction of her hukou. My question is therefore whether I have to apply for the L at the PSB of her hukou or whether I can just do it in the capital where stay on a normal basis.