Start looking early.
Give yourself at least a few weeks to find housing. Make an appointment to view the units you are considering. Many landlords do not appreciate prospective tenants arriving unannounced, and most landlords are required to give current tenants at least 24-hour notice before showing a unit.
Some landlords require prospective tenants to pay an application fee. Many landlords do not. If required, the fee is used to cover the cost of checking the tenant's references. Tenants should ask if application fees are refundable and ask for a receipt of payment.