I don't want to pick up furniture with my fiancee
Why don't you want to pick up furniture with your fiancee?
I'm not living with her and shouldn't have to help her with things like this.
I know that you don't live with your fiancee, but if they've asked for your help you should provide help. You should help your partner when they ask for help. It's expected that you help one another when you're in a relationship.
I don't feel like I need to do these things for her.
But don't you think it's nice to help your partner out when she is in need? I'm sure you'd like her to help you out.