There are different ways to go as you see by now. Forget the one that uses a hammer.
Basically you will need:
Reloading Book, first item
Single stage press.
shell holder for the 308
A two die set of 308 rifle dies
If the press has a priming arm you are good, if not you will need a Hand Priming Tool.
a balance beam scale
Powder funnel
Case Lube, I have used grease from my grease gun, but you do need some lube.
de-burring tool recommended, but you may get by without it.
A table or bench
a rag, to wipe brass with
That is a bare minimum in my book, and I will second what others have said: Buy good tools.
Yes, there are other tools you will want if you get into it, but you asked for a minimum list.
OK, you can keep a once fired brass for a case length comparison, and keep an unfired brass for a seating depth gauge. Now you see you can get by without a caliper.
You can trim with a file if you need to trim the brass after a few loadings.
You can grab a spoon from the kitchen to dip powder into the pan on the scale and dribble in with fingers. Slow but do-able.
Its pretty hard to put powder into a casing without a funnel, so I put a funnel on the list.
To clean brass, just wipe them off with a rag. There is seldom anything more than a little soot on them anyway. They will darken, but that doesn't bother anything but the operator who likes shiny.
A loading board is nice but not a necessity. You can charge one seat one.
Perhaps a Kit with most of these items in it would be good for you?