Yes, you can start the LLC in Colorado. You will need a registered agent that resides in Colorado. There are a number of services that will do it for a fee, or you can have someone you know there (friend or relative) serve as the registered agent until you move and then transfer the agent to yourself.
There are advantages to having a registered agent that isn't you -- especially if you have a physical store. The primary one is that any service of process (lawsuits) is done to the registered agent of an LLC and you wouldn't want that in your store in front of customers.
One thing to watch out for is that if you are doing business in Missouri prior to your move, check the Missouri regulations for registering a "foreign" entity. Each state's definition of "doing business" is slightly different.
Best regards,
Molly Donaldson
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