Die Type: This is what type of die the press will accept. There are a few common types.
7/8"-14: These are the most commonly encountered type of die.
1 1/2"-12: These are the most commonly encountered die for cartridges too big to fit into the 7/8" dies. This is typically encountered for 50 BMG, 50 DTC, 416 Barrett, etc etc.
Press Type: Presses have a spectrum of automation levels.
Progressive presses have a shellplate which the cartridges are placed on, and they rotate through the stations in order. A progressive press is generally designed to take brass in and dump out completed rounds (usually with user intervention to seat bullets)
Priming: Some presses have built-in priming systems, and others don't. Generally, presses without built-in priming systems can accomodate a priming die, but this is not built-in.
Swaging: Some presses can automatically swage primer pockets as part of their operation. This is useful for resizing military-crimped brass.
Minimum Length: This is the shortest cartridge which this press can handle.
Maximum Length: This is the longest cartridge which this press can handle.