If you have a garage, that would be a place to store hobby-related items. Some people keep these items in their living room or bedroom if the house/apartment doesn't have extra rooms. They choose an ideal corner far away from where the couch/bedroom is and put a cabinet. If you live alone, it's simple; you can place them anywhere you want. If not so, you have to consult and agree.
We have a small space so I just store my art materials, drawing pads, and stationaries in small black storage crates and slide them under my bed. It's one way to make sure family keeps there hands off them and it's also easy access. I just make sure that they are neat. I have no problem looking for things since there's no stacking involved, it's just all there.