Try moving to a cheaper area to rent where there are a lot of homes available to increase your chances.

Yes but it will be hard, landlords can only accept you so long as your rent is not more than a certain percentage of your income. It looks better to have a job, that said its not impossible. Just present yourself well, have no major debts and write a letter describing yourself and family. Always works for me. Im a single mum as well. All the best