"I'm sure there are people in worse situations that I am."
The family includes a 14, 9 and 1-year-old, plus a small, old terrier which is blind in one eye.
"Because of the dog no one wants to look at us," Quin said.
She said there were a lot of things to weigh up when looking for a rental; how close it was to work and school, and the cost.
"I'm on a part time wage and my husband, he's just started a new job so we're not on high wages," she said.
"We're just trying to find something that works.
"There are so many things to weigh up and look for."
Quin said the family had "plenty of references" and hadn't had issues finding a house to rent in the past.
She said it was frustrating when she applied to view a house then got an email saying it had already been rented. Owning their own home also wasn't on the cards, she said.
"We're not at that point [of desperation] yet but it's starting to hit home we're going to have to lose out on something to make it work."