Struggling

I have a 15 month old daughter who likes to explore and touch things. I currently live with my family because of baby daddy issues that resulted in me moving back with them. They said I should be strict with her and that I should put her in the play pen so she's not running around. We sleep in the living room, so she has a lot of freedom. I want to raise her differently than how my mom raised me, but I'm at my wits end. I take care of her by myself. I don't get help from anyone. I feel like my baby is just being a baby and that they are overreacting, but I don't know. Does anyone have any displine advice that I can use so she's not touching everything.