Hi, there are many tutorials about how to use Operational amplifiers in the internet, just google, read and learn. Using the free software LTSpice you can also simulate such things. Operational amplifiers, short term OpAmps, are what you need for your purpose. The AD712 is a good but not very cheap candidate for your purpose, I did something very like the same with these things. Go for a +/-15V and not +/-10V supply because those OpAmps don't work well when they should output something near their power rails. By using the simple cuircuit-blocks with OpAmps (you even find those on Wikipedia) do a first block that subtract 2.5V from the input - or alternatively: add -2.5 which does the same. This way you can get from +0..+5V to -2.5...+2.5V. Then put the signal through an non-inverting amplifier (done with OpAmp) that has a gain of 4 and you are done.