Delivery companies aren't quite so hungry for drivers as they were some months ago. Figure out ways to make you stand out and get put at the top of the pile by recruiters. If you have significant delivery or commercial driving experience, make that clear.
Other ways to show that you are dedicated and professional include training certificates, clean MVR and background reports, your own business trade name or LLC, a mention of the gear you already have, delivery dispatching software you are familiar with, and insurances you carry - like auto (what are your liability limits?), cargo, occupational accident, and general liability insurance.
Many of these credentials and ways to make yourself more attractive to companies seeking drivers cost very little. CBDriver Resources can point you in the right directions.