Its a pretty involved process...
I would phone a filter supplier and talk to an application engineer with the Micron sizes of the solid particles you need to remove. Also depends on other properties of the fluids / filters.
What kind of viscosity, what kind of flow rate, what kind of maintenance schedules, what kind of maintenance operations you would like to use (Replacement, filter change out, filter cleaning), what percentage of your slurry is a solid and what percentage is a liquid, is the solid abrasive or non-abrasive (IE Icing sugar (nonabbrasive) vs Sand (Very abrasive), is there any corrosive potential chemically (H2S, etc), is there any flammable potential, are the solid subject to break, are the solids hygroscopic....
Answer these questions and a host more about your design service and requirements and phone up a Filter Supplier, hear what the expert on solid/liquid filtration has to say.
Asking how to specify a solid/liquid seperation unit is kind of like asking "how to solve an equation" without providing an equation.