You can see the time difference for yourself, at the moment of posting it is getting close to 19:00 here.
And in the TV here sometimes I see some highlights of one of the NBA games though it isn't at the best times.
NHL I don't remember that I ever saw it here, just the World Series some highlights too.
And what we call the 'biggest pussy sport in the world' (American "football") is broadcasted here live once in a year, the Superbowl in the middle of the night, but I never watched it.
In the biggest forum in Holland we have a vivid betting community, and there are some people there that follow the US sports closely and give good tips.
But real football is the most important sport here for betting, together with tennis I guess.
Basically, everyday we have lots of picks from soccer, tennis, MLB, NBA, NHL and later in the year I think NFL too.
Oh and a few guys specialize in non-mainstream sports like cycling and wintersports, and make tons of money with it!
Great by the way that you love your play, or else we would have a problem
Good luck!