I am not a gunsmith but I will give you some information. The belt of the 240Wby is larger than the 06 case diameter so you will have to cut the barrel off to the width of the belt. Now then I don't know what gun you have but I am assuming it is a Weatherby Mark V with a 24 inch barrel. A 240 Wby is not a mild cartridge and will eat up a throat. A 6-06 will also eat up a throat so the price of bullets is probably low compared to the cost of throat erosion. But if you have three of four hundred rounds down the barrel of the 240Wby you should probably have the barrel set back a couple of inches when rechambering to the new cartridge. Setting the barrel back on a 24 inch barrel for a 6-06 is somewhat like sharpening a knife with a hammer. You are going in the wrong direction. A 22 inch barrel 6-06 would give you a good fireworks show from all of the still burning powder flying out the end of the barrel and I expect you would get just about 243 Win performance out of it. So, to get 6-06 performance you would need a 26 inch or better barrel. Rebarreling to a new caliber with new dies will probalby run you $400-$500.
240 Wby brass is about $1.15 a piece. Shooting 85-95 grain bullets at reasonab1e pressures, you should get about 5 firing a case. So it would cost you $230- $345 to burn out a $240Wby barrel (1000-1500 rds).
I took my 240 Wby to Texas pig hunting and I get two firings per case because I really cram powder into it. I fired maybe 20 times so that would be 10 cases gone at $11.50. The trip cost me just over $2,000 dollars so if I had been shooting a 6-06 the trip would have cost me just over $2,000 and I could have stopped at Burger King one more time. /ubbthreads/images/graemlins/grin.gif They have the best fish sandwiches.
Now then, my 240Wby with a 30 inch barrel will shoot all the way through
two grown hogs at 550 yards and break bones as it goes and still exit. Perhaps if I had a 6-06 I could shoot through 3 hogs at once. /ubbthreads/images/graemlins/confused.gif
I just do not see that the conversion is going to save you any money nor kill any deer deader. If you want a 6-06 then by all means go and get one with a barrel that will give you a good burn on your powder. Cutting down a 240Wby barrel just ruins the 6-06 performance.
That is just my advice and maybe somebody else will give you better advice.