I think you should use RAMAN spectroscopy because the authors like A.C. Ferrari, M.S. Dresselhaus use RAMAN for investigating different carbon forms.  You should use TEM too.

Well. It depends on to what extent do you want to know about their differences. They have different morphologies. You can do a quick check using SEM and TEM if you only want to differentiate them based on their morphologies. To differentiate their carbon form, chemical component and structure, I agree with Lozanov that you should perform Raman or XRD.

Dear Dr. Al-Zubaidi

SEM analysis can be very useful to see the morphology of your samples. TEM is also can help you. 

I don't think EDS can help you to distinguish between your sample (this method is use to analyze the elemental composition of materials).

If they are nano-sized, it can be challenging for SEM, while EDS and XRD would not be very useful... for such sizes TEM would be the right solution.

I agree with Dr. Janez Zavasnik that Eds and XRD haven't to be useful for investigating of nanocarbon in different form. For XRD you must have a lot of  powder of your nano carbon. But may be if you use of synhrotron radiation from soft Xray range.. May be it help for you to  determine structure.. SEM, TEM and Raman will be very useful. If the sample will be heated in Raman spectroscopy you may dilute your powder in KBr. The wavelength 1064 nm,  for example. Or, you may try to use of neutron diffraction for investigating of structure of carbon. Neutron diffraction is a very accurate technique to determine structures formed slight atoms such as carbon. 

And.. I wanna add some interesting papers for investigating carbon nanotubes and another nano-carbon.. Neutron diffraction: dx.doi.org/10.1016/S0301-0104(03)00316-1

dx.doi.org/10.1007/s003399900152,

RAMAN of carbon: dx.doi.org/10.1016/j.proeng.2015.01.126

dx.doi.org/10.1016/j.ssc.2007.03.052

dx.doi.org/10.1016/j.ssc.2013.05.010

dx.doi.org/10.1016/j.carbon.2015.04.001

dx.doi.org/10.1016/j.physe.2010.03.007

dx.doi.org/10.1016/j.physe.2010.01.015

dx.doi.org/10.1016/j.physrep.2004.10.006

SEM and TEM: dx.doi.org/10.1016/j.synthmet.2015.03.005

dx.doi.org/10.1016/j.ultramic.2014.11.021

For example. I hope, these papers will be useful for many researchers.

I think Raman Spectroscopy is the best way for that. Two papers are attached about using this technique for identification of CNT,

If you are mainly interested of resolving your samples so that you can tell which species are CNTs and which are not, a high-quality SEM should provide sufficient resolution. TEM is even better, if you're able to carry out the sample preparation.

If you have access to atomic force microscope (AFM), that provides the best vertical resolution, but is time-consuming to do for large areas.

From the morphology，one-dimensional （1D）carbon nanotubes and 2D carbon powers have superior thermal，electrical properties. SEM analysis can be very useful to see the morphology of your samples. TEM is also can help you. I agree with Mohave that you should perform SEM or TEM.