How to bind antibodies to study their properties?
Like any other protein, antibodies will aspecifically bind nitrocellulose or PVDF membranes, but any other protein present in your antibody preparation will also do.

Depending on the antibody class, more specific binding can be obtained with protein A or protein G, that recognize the Fc domain. It's usual to have protein A/G immobilized on a stationary phase like agarose.

If you know the antigen used to develop the antibody, you can also use the immunizing peptide crosslinked to CnBr activated sepharose as a probe to bind your antibodies.

Knowing something more about your antibody preparation and what exactly is the 'behavior' your want to study could help obtain better answers.