Well my first question is, what is your betta in? You usually don't have to worry that much about moving a betta from one place to another. They're generally pretty easy going about that

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God Bless,
Joshua
Right now I have him a 1gal bowl. But I'm going to take him a good distance so that someone can watch after him. I'm just worried that now moving him such great distances would unduly stress him.
Empty and clean his bowl as if you were doing a water change
Put your betta in a bag that is 1 part warm water, 2 parts air, seal the bag, enclose the bag in a polystyrene box or small box surrounded by newspaper shreddings and use a heat pack.
Take your fish and it's bowl, and all equipment, to it's new home. Remember to pack a heatpack for the journey home again too