Some parts of my website are only accessible via HTTPS (not whole website - security vs performance compromise) and that HTTPS is enforced with a 302 redirect on requests to the secure part if they are sent over plain HTTP.
The problem is for all major browsers if you do a 302 redirect on POST it will be automatically switched to GET (afaik this should only happen on 303, but nobody seems to care). Additional issue is that all POST data is lost.
So what are my options here other than accepting POSTs to secure site over HTTP and redirecting afterwards or changing loads of code to make sure all posts to secure part of website go over HTTPS from the beginning?
You are right, this is the only reliable way. The POST request should go over https connection from the very beginning. Moreover, It is recommended that the form, that leads to such POST is also loaded over https. Usually the first form after that you have the https connection is a login form. All browsers applying different security restrictions to the pages loaded over http and over https. So, this lowers the risk to execute some malicious script in context that own some sensible data.