I have been carting these lemons around the house. When I go to bed, they sit on my nightstand. When I work in my office, they are near. When we eat a meal, the bowl is on the table. An amulet of sorts to ward off the cold, snowy winds. I picked these two lemons from a tree in Palm Springs last week, and I've become unreasonable attached to them. They remind me of the warm sun, playing in the pool with Sugar Bear and laughing with a dear, old friend. I get that these memories are in my mind, not the lemons. I know even when the bowl is empty, I'll still have the memories of our trip. But for now, I want the lemons nearby.
Maybe you have a similar relationship with your grandfather's bowling trophies, a tea cup from your aunt or a dining room set from your parents. We look at these memory triggering possessions and feel attached to them, as though they carry the love and connections we miss.
Just to say, it's okay to keep things that trigger sweet memories as long as you have room for them and they don't add stress to your life. Also note that having more items from your grandmother will not keep you more connected to her, a few lovely things, sitting out where you can appreciate them, will do the trick.
Everything in your home should make your life a little better in some way. So, enjoy your things that prompt sweet feelings and let go of those that don't.