The particle sizes of interest to me are in 2 nm - 100 nm range. For TEM analysis, what are the Grid selection criteria (like Mesh, material, etc.) for this range of particle size ?
2 to 100 nm is a very broad size range! The easiest way is to start with a carbon film-coated copper grid. For specific analytical tasks you can also take Ni or Au grids. If the particles charge or you have other drft problems under the electron beam, so use thicker films. In the case weak contrast you use thinner films. A holey film coated grid is in the case of agglometrates, weak contrast and for EELs analysis useful ...... You have yourself step by step find the optimal grid for each configuration of the particles.
I totally second Volker Klemm answer. Start with Cu grid coated with carbon, I think it is most widely used and also cheap and works fine for most of the materials with different sizes.
Carbon coated Cu grids will be fine but your particle size range is too broad. I will urge you to choose thinner carbon coating 50nm. These recommendations are for formvar film carbon-coated grids.