It’s so good to see someone else running after hip replacement. I was already a runner when I had my first hip (right) replaced in 2021 and I returned to running once it was 4 months old. My left hip was replaced 2 weeks ago and I am looking forward to getting back to it. The advice I was given by my surgeon (an amateur tri-athlete) the first time round was to build up gradually, mix up my training load with other things such as weights, swimming, cycling), and take care about terrain to start with (so as to minimise the risk of falling). It was good to have a surgeon who believed in getting back to running, as I encountered a lot of negativity about it elsewhere. The (different) surgeon who did my second op is also a runner himself and had no problem with it.
Have you joined parkrun yet? It’s a bit of an obsession of mine. I own a 250 milestone T-shirt. Currently volunteering given my circumstances, getting close to my V100 milestone T-shirt too. Walking is also welcomed at parkrun.