Small time LLCs are not going to get so much as a credit card without a personal guarantee. Sometimes you can get loans from the company doing your payment processing but only because they're directly involved and can see your cash flow.
(disclaimer: I work for Stripe which had a product that works like that, but not anywhere near that team)
What this person said. You'll almost always have a personal guarantee on a loan. And if it's just you consulting, you don't typically have assets in the LLC to borrow against anyway.
(disclaimer: I work for Stripe which had a product that works like that, but not anywhere near that team)