If you have extra floor space in your kitchen, a kitchen island can add counter space and the lower part of the counter can be used for storing things. They can either be static, built in the kitchen or you can buy a rolling island on casters.

I assume there is not much floor space in your kitchen. You can make simple additions to solve your storage problems like hanging baskets where you can store small items, door racks which do not take much space and can hold many items, slide out storage which is a tall, thin set of shelves on casters that can hold a range of things that would otherwise be taking up counter space. Some smart revisions can give you much more space than what you have now.