There are many ways to get to Malmö:
Malmö Central station
Closest international airport:
Copenhagen Airport (25 minutes with train across the bridge, do not forget national id or passport), best stop to get to Hästhagen is Triangeln.
Train from Copenhagen airport to Malmö Central Train Station: https://www.oresundstag.se/
Closest domestic airport:
Malmö Airport – https://www.swedavia.com/malmo/