Will i see a huge difference or a difference at all?

Time for me to get a new telephoto!

How much of a difference in photos will i see between a 55-300mm nikkor and a 70-300mm nikkor?

There won't be much of a difference at all, in fact I'd recommend getting the 55-300mm.

What is the aperture for each lens? This should be looked at when comparing lenses.

If this is the correct 55-300 Nikkor then this is the info:
Maximum aperture: f/4.5-5.6
Minimum aperture: f/22-29

For the 70-300 Nikkor it would be:
Maximum Aperture f/4
Minimum Aperture f/32

Your lens will be slightly faster if you go with the 70-300 (not that it is a super huge difference). You will also have a slightly greater depth of field with the 70-300.

Here is some feedback for the 55-300:
Ideal for: Perfect normal and long-telephoto lens for general photography, but only on DX digital cameras.

Not for: Film or FX digital cameras. Slow autofocus and needing to move a switch to get to and from manual focus makes the 55-300mm poor for moving subjects; use the 70-300mm VR instead for fast action, as well as for film and FX.

Autofocus is slow. If you want to shoot action, pay a little more for the larger and more expensive semi-professional FX 70-300mm VR instead.

To get to and from manual focus mode, you must move a switch on this 55-300mm. There's no instant override as there's on the 70-300mm VR. Manual focus doesn't work very well on this 55-300mm anyway, so if you want easy access to manual focus (I do), opt for the 70-300mm VR instead.

I would HIGHLY recommend taking your camera and testing both lenses. You can compare images at home later after taking several images in the store. Most stores are pretty good about letting you sample the lens. I would do this even if you plan on purchasing online. If you have no possibility of trying in a store, then I would rent the lens through an online rental place (if you are really stuck between the two).

Read a lot of online reviews. See what others say about the two lenses and then decide what to do based on what you are looking to shoot.