The Bensberg subway station is a 3-minute walk away. From there, the journey by direct train to Cologne city center takes only 30 minutes.
For your travel planning you can look into three possible airports:
Cologne Bonn Airport – approx. 20-minute drive by taxi to Schloss Bensberg Düsseldorf Airport – approx. 60-minute drive by taxi to Schloss Bensberg Frankfurt Airport – approx. 1h 50-minute drive by taxi or 1h 40min by public transport to Schloss Bensberg (train to Cologne Messe Deutz and then subway to Bensberg)