First things first, get a loading manual, the Lee second edition will work just fine, about $12.00 or so. Or the Speer #13, or the Lyman #48, each cost about the same, but the Lee has the most data, it is a collection of powder manufaturer data, but it is good data.
Go ahead and get some primers, Small Rifle for the 223, Large Rifle for the 25-06. You shouldn't need Large Rifle Magnum for the 25-06, though a few powders might perform a little better with it, at present stick with the standard stuff. They come 100 to a box, 1000 to a carton, 5000 to a case
Go ahead and get the dies, get Lee because they do come with a dipper and you will be quite safe loading with that, but a scale is the next absolute purchase,unless you go ahead and get it at the same time you get the dies. I use the Lee scale at present, but much prefer the RCBS 1000. Hornady makes a good balance scale inexpensivly, Cabelas has one also. While the Lee works, I do feel there are better products of this type available.
I don't think you will find a good compromise powder. H-380 ought to be about right for the 25-06, but 760 should perform well too. 4350 is about as slow as one should go here
BL-C2, 748, H-335 would all be good places to start with the 223, but my money would be on BL-C2.
Hodgdon is currently offering 4, 1/4 pound samples for the price of a pound cannister. Check out this deal, an exellent way to figure out what powder you or your gun likes (we do prefer to shoot what our gun likes :-) ) so be sure to ask what others here are shooting and getting good results from.
If there is a compromise powder it is IMR 4895, but it is a stick powder and cranky to work with (It doesn't meter well in a powder measure)
For a while many beginning reloaders weigh everything. (Not a bad practice actually, just slow) I mounted a Lee powder funnel with a small c-clamp on the shelf my scale is on. When I weigh a charge, I can simply hold a case to the funnel, and pour the powder out of the weighing pan right into the case. This may not make much sense toyou at the moment, but remember it, it will save you a bit of time trying to figure out how to hold three things at once. It also allows you to easily segregate charged cases from uncharged cases. Keep us informed, JP