Ok, so here is what I have got for you:-
Firstly, the best free vector editing software I know of, and it's really easy to change the colours of the logo. I figured how to do it in a minute, and I'm stupid.
It is called INKSCAPE! Hover over the download tab and choose your operating system.
The file attached below is the logo in a zip file, but in the format native that the program. It will open the .ai file I gave you, but I have ungrouped it all, then grouped it into three sections. Each section has it's own colour, so you just have to click on the colour you want to change and change it.
View attachment megafix.zip
It will look like this
Once you have chosen your colour section, double click the bit the two red arrows are pointing at in the last picture, then you will be able to change the colour to the exact rgb value. Or you can choose from the swatches of colour that run along the bottom of the preview box. Once you have changed the colour of everything, go to File/Save As and select the .eps file extension. You will then be able to open a new document in Photoshop, and drag and drop the .eps file onto the Photoshop canvas. Then click Ctrl+t to resize the logo to what you want, remembering to keep your finger on Shift while you do it, so it stay at the right proportions.
I hope this helps, and you understand my explanations. There are ways to edit the colour in Photoshop, but they are not as accurate as I like. This may seem like a lot, but should only take 5 mins, as long as you know the colours you want.