The new arrival: registration first, groomer second
Keep the vaccination card from your import paperwork accessible — reputable groomers ask to see current rabies vaccination at minimum, and that is a green flag, not an annoyance.
When you do book, say it is a relocation case, and a good groomer will treat the first visit partly as an inspection: coat condition after weeks in transit, skin dryness from the climate change, ears after the flight. With no word-of-mouth network yet, comparing several verified vendors and their AED ranges side by side substitutes for the neighbourly advice you have not had time to collect.