If you're flying a light plane, that is, not a jet, then stay clear of Grafair. There is no need to visit them. Unless weather is IMC and low cloud in Stockholm you should visit Barkarby, ESKB. Only a few minutes from Bromma, ESSB and no landing/parking fee. 100LL and 91/96UL available through the local club. There's an annual EAA fly-in first weekend of June. If you do end up at Bromma you can park at the north parking with fuel just next door.
If you need help with anything PM me.