Swaging is a process that involves increasing a bullet's diameter. Drawing is what you do when you reduce a bullet's diameter. A "Bump Die" is a swaging die.
When you draw a bullet down more than 5 or 6 thou, you tend to get jacket separation. The more you draw it, the bullet tends to deform and bend.
I own one of those Princess Auto arbour presses, and I doubt that they'd be enough to generate swaging pressures. If I recall correctly, it takes over 60,000 psi to swage a jacketed bullet (preferably 80,000). Lead bullets and 22s can do with less.
I have 2 swaging presses. My Corbin Series II generates up to 130,000 psi and my Walnut Hill will do up to 180,000 - both have arms designed to provide some mechanical advantage during the swaging process. Your standard reloading press will do around 30,000 psi with some of the stronger ones topping 50,000.
You should talk to Corbin's or RCE and tell them what you want to do and thay can provide you with possible solutions. It will likely involve buying a swaging press and a point forming die.
If you're making the bullets for a .280 Ross, the spec says .287, but I understand many barrels are .288 or .289. It might be best to slug your barrel before ordering dies.