Hi,
Create a zone of the type "shipping" via the System>Zones menu and add to it all the countries you want to ship to.
You can easily select them all in the selection popup by increasing the pagination, filtering to countries only, and using the global checkbox at the top of the listing to select all the countries and then validating. And then, you just have to remove the ones you don't want from the list.
Then, in your shipping methods settings in the menu System>Shipping methods, you can select that new zone in the "zone" restriction setting and the shipping methods will only be available for the countries in that shipping zone.