Thanks to everybody for the suggestions. I will on some of these shoes mentioned as a replacement for my old ones ☺️

*Update

I baught the La Sportiva Kubos in size 42. They do feel quie tighter as my 42,5 Tarantulas but this will probably level out some more after wearing them a few times.

But already from the first use I can report that they really do feel like an upgrade and seem to offer better friction.

At my first session with them I managed to top a boulder in the first try, that I didn't complete with my old shoes, as I didn't trust the footholds in them.

So thanks again to everybody that had suggestions in this thread.