If youre dealing with Altera: one computer would have the software tools and licenses needed to synthesize the project. Assuming all the FPGAs are the same model on each station/node, Quartus will generate an .sof file which you can copy and open from station to station. All you would need to do is download the Altera programmer tool (I believe you can download it separately from Quartus II) on each station which is free. Then upload the .sof to the board using the programmer, where you can permanently store it on the fpga prom using a technique similar to the following:
https://m.youtube.com/watch?v=ZrMe8JS7Ktk
However if you have Xilinx and Altera mix, Xilinx has .bit/xdl files, and uses another tool (impact) to upload their bitstreams. They can't be converted to and from bit and sof. So it's recommended that you probably stick to one make (Xilinx or Altera) and model based on your plans.