Why would you walk away from a chance to bid. Make your price higher than the competition and sell on quality/ experience/ precieved value.
Don’t race to the bottom. A premium product requires a premium price. Give information , before and after, etc with your quote. Also offer to speak one on one as needed to assure them you are the best choice.
If you bid considerably higher than the competition it may make them look like hacks/99 dollar guys.