ᐅ Looking for a construction company in the East Holstein / Heiligenhafen area

Hello everyone,
we plan to build a single-family house in Heiligenhafen within the next 2-3 years.
We already have a clearer idea of what the house should look like.

• Bungalow with about 120 m² (1,292 ft²) of built-up area
• Solid construction, not following KfW standard
• Gable roof with approximately 35° pitch
• Attic space to be developed, partly open (open space above the living area)
• Larger garage (about 4.00 m x 4.00 m (13 ft x 13 ft))
• “Normal” standard, no fancy or high-end features...

The plot is already owned and may be developed according to our plans in compliance with the local development plan (building permit / planning permission).
Our challenge is that we currently still live in North Rhine-Westphalia (NRW) and can only visit the site occasionally; this should become our residence for retirement.
The known house providers do not have anything appealing in their offerings, so an individual design is necessary.
Now some questions:

• How would you proceed: look for an architect or a general contractor?
• Are there well-known construction companies or recommendations for the Heiligenhafen area?
I have heard of the company Specht from Fehmarn; does anyone have experience with them?
• What costs should we expect (construction costs plus additional expenses)?

Thank you very much in advance for your answers.
Best regards
Olli