I plan on moving out with just my daughter and I in about 6 months...

I’m 18 and I still live with my parents, my 3 siblings and their 3 dogs. I have a two year old daughter and I think it’s time to get us into our own space considering that it’s crowded and everything except my daughter and I’s room is covered in dog hair. Doesnt matter how much you sweep. It’s disgusting. I make about 12$/hr and for just my daughter and I, it’s a damn good start. I found a potential home, about 715$ a month not including cable and wifi. I want to buy all new furniture due to the fact that I’m afraid to buy off people that I don’t know because of bed bugs, etc. My parents are throwing fits because I don’t want to take their furniture because it’s crazy worn out, smells like dog and is covered in dog hair. I’m afraid to fight with them about it, but I honestly don’t want that nasty furniture. What do I do with my parents? Tips on buying furniture? Cheap and great brands?