I don't believe the Carter fuel pumps can easily be rebuilt. But these are still available new, albeit, no longer made in the USA. Same goes for the Airtex.
There is a another type, that CAN be rebuilt, with 8 screws around the perimeter, that sometimes shows up on searches of the 4589 part number.
FUEL PUMP 4589 PART FOR 1969 1970 1971 CHRYSLER DODGE PLYMOUTH IMPERIAL V8 | eBay
There looks to be a pretty NOS Airtex one (judging by the age of the box) on ebay, right now, for $30.
267 GENUINE Airtex Sure Power Fuel Pump | eBay
Much of the following is based on a 1970 440-4 survivor car that seems pretty darn original.
A hose goes between the fuel line from the tank and the nipple on the fuel pump inlet. The inlet nipple points to the (right) frame rail. A hard line screws into the outlet threaded part, turning upward and runs behind the alternator, then turns rearward running between the valve cover and intake manifold, making a turn up into the carburetor fitting. When I search for images of the Carter 4589, most of the images show a nipple for a hose on the outlet side, as well. You'll want a short hose back to a hard line, in that case.
Carter 4589 Fuel Pump - Google Search
I don't believe our cars came from the factory with a fuel filter. At least, not the inline ones in the engine compartment. But many/most of us run one. My preferred location is along the top, where the valve cover is. I like this location to make inspecting it (I use one of those clear glass ones) and servicing it easier. But it's kind of an ugly location. I've seen many behind and below the alternator, along the vertical section of the hard line after the pump.