You can clean the brass without dies, but removing the primers requires at least a dedicated depriming tool. Several are sold.
Many loaders use universal decapping dies which don't resize the brass so when the brass is cleaned the primer pockets are also cleaned. It's an added step, but some do it. Tumblers are cheap, and there is also a method using stainless steel pins and water to clean brass.
If you shoot that much per year, Dillon or the like is a good bet. Other brands like Hornady and RCBS also make progressive presses. I have Dillon, but there's nothing wrong with the other brands. Dillon's warranty is called 'no BS' and they stand behind it. Lots of people use Lee products, but I can't speak to them since I've never owned one of their presses.
I've heard a lot of people tell those just starting out to start with a single stage, but with your volume that will get old quickly.
While you're waiting for equipment, buy some manuals and read them. It will give you a leg up for when you actually start loading.
There is a lot of good info on the net, too. You Tube has loads of videos on the subject.