Please don't take this a a flame, but it's .308, not .30-08. .30-06 means .30 cal, 1906 model. There was also a .30-03 which was the same basic case as .30-06 with a slightly longer neck and the 220 gr bullet used in the Krag, introduced in 1903.
As far as "fun" - that's totally subjective. Do you plan on shooting a lot of car engines? More case capacity gives the .30-06 the ability to shoot heavier bullets at the same or slightly higher velocities.
As far as accuracy - it would take a really good shot to notice any difference in the real world.
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