You need to do a little geometry and figure out how big your hexagons are going to be. Assuming you are going to have at least two hexagons below South America and Africa, and one hexagon north of the coast of Norway for the Russians, you have a fixed distance. Now divide that distance by the reasonable size of a hex to determine the number of hexes per inch. Then measure between Berlin and Moscow and you will find out how far in hexes it will be between the two.
As far as drawing the map itself, I would call up the best photo file of the world you can find. Then draw one zig-zag line all the way from top to bottom. Mirror copy this line. Add the horizontal sides between the two zig-zag lines. Fence copy all these horizontal lines over one hex width, shifted up half a hex. Now with this much complete, you can copy the whole thing over and over until you have covered your map.
But there is another problem …
The horizontal distance at the equator is more than the horizontal distance at the upper and lower extremes. I believe you will need to explore a compensation system for movement to make up for that.
And then you have to find a source for the several thousand pieces needed to populate such an ambitious map. Good Luck.