Thank you everyone for your help, I believe what Aodhan has said has answered my question, I believe really I should've used the term moving my "ground reference" to the +ve of one to the -ve of the other, rather than creating a virtual ground. Would the same thing still apply?
Edit: And also, would you guys have any suggestion on what components/modules to use for making a +ve & -ve variable voltage? I can find lots about variable positive voltage but not -ve voltage
If you have two isolated output transformer or two transformers you can just use two postive regulators and configure them differently. like connect the postive and the negative of the outputs so you get ground at that point then postive and negative rails at the other postive and negative outputs.
You also could use a negative regulator. The most common postive voltage regulator is a LM317. There is also a negative version called a LM337. These are good regulators but can only go down to 1.25V or -1.25V you can fix that by putting a negative voltage on the adjust pin but thats messy. Instead to go down to 0 volts you can use a LT3080 these are reliable and similar to the LM317 except they go down to 0V. If you have two isolated outputs or two transformers you could use 2 LT3080's but if you don't you could use a LT3015 which is basically a negative voltage LT3080.
LT3080 and LT3015s can be parrallelled for extra current but you need a 10milliohm resistor on the output of this, this can be avoided by clever PCB routing. You can also for all the regulators use an external transistor to increase the current this is cheaper and easier and allows alot more current but it can be prone to oscillations so be careful but for normal use it should be fine. These are some simple easy to use regulators.
Some advice is to only regulate 5V down from the input voltage and use a pre regulator to regulate down the input voltage.
There are a lot of good videos, tutorials and schematics to build your own bench power supply. They are an extremely good resource. Just google DIY Bench Power supply <voltage regulator you want to use>.
Good luck with your project.