Renting as a single parent

Anyone had any experience renting as a single parent in the current market? Specifically for a two bedroom place.

I’m a recently single dad with a four year daughter who I have week on and week off. Was trying to cohabitate with my ex till our existing lease runs out later in the year. But am looking to get out sooner for my own mental health reasons.

Currently living in the Eight Mile Plains area and was hoping to stay somewhat close to here for school reasons. But looking at options may end up having to look at the marsden, park ridge type areas instead sadly.

Don’t care what sort of property it is, unit, townhouse, duplex or house. And was hoping to have a budget of $500pw as that is workable with my recent savings and not having to make any lifestyle changes. However with some changes can probably push that up a bit.

My big concern though is getting passed over by agents as being a single dad with a child.