Current lawn condition - Next steps?

Lawn is play and lying area or green terrace

Wild meadow, bee meadow is a kind of "ground cover" that requires little work. Currently fashionable.
Also planned by us

Regarding the fertilizer. Is there one you can recommend for my lawn (age, growth, season, ...)?

I followed the tip from , but have only applied it once: MNSP Universal lawn fertilizer from agrarshop online de I used the one with 3-month long-lasting effect and am very satisfied so far.

I have had very good experience with the Fiskars weed remover XAct for digging out. It is gentle on the back and nerves and also works very well on deeper roots. After our move, I have one left over since we are not planning a lawn on our new property. But shipping from NRW to Bavaria is not worthwhile. Maybe someone from Bergisches Land wants it...