Recording large video files & storing onto server

Hello
I have mountains of VCR tapes and 100's of DVR events i need to record onto a Mac computer. The process i am using right now is sooooo time consuming, is there anyway to speed up the process? Here's the thing, I work for a football service where we analyze game film to rate players for the upcoming season. I record 75% of the game played this year. My boss is soo old-fashioned for the longest time refused to go to DVD recorders/DVR and now wants the games at the push of a button on a server. I've spent the last month trying everything and i am frustrated. IS Anybody out There!!!
 
How are the raw inputs from the carmera recorded (aka what format or the .extension)
and what format do you desire to put on the server? These choices CAN make the world of difference :)
 
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