The sides of something that are closest to you.
Nearsides are the sides that are easy to see and reach.
Examples:
The cat is sitting on the nearsides of the table.
I like to keep my favorite toys on the nearsides of my bed.
She puts her shoes on the nearsides of the door.
The nearsides of the cake are the best part.
I always keep my snacks on the nearsides of the cupboard.
The nearsides of the tree are where the birds like to sit.