Actually, in general, as the size of the molecule increases, the strength of Van Der Waal's forces of attraction between the molecules increases. This is because of an increase in the surface area of contact between molecules, hence the ease of polarisation increases, and magnitude of dipoles increases, and so does intermolecular forces of attraction. This is, of course, assuming you're talking about instantaneous-induced dipoles, so the molecule must be non-polar.
Same holds true for permanent-dipole - induced dipole.
I'm not sure for permanent-dipole - permanent-dipole molecules, though. Anyone want to clarify?
For H-bonds, the strength of the H-bond would depend on the atom the H is covalently bonded to, as well as the atom the H is H-bonded to. So if it's Flourine, then the H-bond is likely to be stronger than if it were Chlorine, it would be weaker. Like formaldehyde mentioned, the more electronegative said atom is, the stronger the H-bond, and generally, the smaller the atom is, the more electronegative it is.
For ion-dipole interactions, yes the higher the charge density of the ions, the easier it is for water molecules to interact with them and cause them to dissolve.