How you will organize the clients and products will depend on what information you need to record for the products that the client has.
You might need a clients_products table that holds id's for the clients and corresponding id's for the type of product they have. You could then query the db for an individual clients info and products by joining the clients table with the clients_products table.
I think that there are a lot of parts to think about with this and you should spend some time detailing how the information would be stored and relate to see if it will fit your requirements.
If you go the route here then you may need at least two more tables, one for product types to relate the product type id to the product type name, then at least one more table for the type of product that it is to ensure that you can record the details for that type of product.