I think the best one is the one in Aalborg.

Generally, you just want to show and tell them what they want to see and hear. You basically have to portray a binary (possibly heterosexual) trans person even if you aren't. For my first appointment I showed up in feminine clothes, nail polish, etc. and I had practiced what to say when asked different things. E.g. when they asked about my mental health I lied about basically everything except for my awful dysphoria. You really want to bring up dysphoria and how it affects you, but not other mental health issues. I also implicitly stated that I would likely kill myself if I had to continue living as a man, but I didn't explicitly say that I was suicidal as that could be used against me. If you have any mental health diagnoses that could negatively affect the process as they like to deny care based on frivolous reasons.

In regards to my family situation I lied and told them I had a good relationship with my family (like it's decent, but they weren't great parents, kind of emotionally neglectful, but I did not mention this). I also came out to my family between first and second appointment which seemed to be seen as positive. Other than that I think being on DIY HRT is also a benefit as it shows you are serious about transitioning (and my personal theory is that they want to control your transition so they want you off DIY).

Idk you might already know all of this, but this was how I went about it and I was only forced through the minimum of four appointments before being approved.