What should I use to marinate chicken with a lime seasoning?
Your best bets are glass and stainless steel.   There is no risk of corrosion with stainless steel, as opposed to aluminum or cast iron, which may react with acidic foods.

Zip-type bags are also excellent for marinating, and disposable.

You can use plastic like Tupperware, but there is some risk of staining.

I would not choose wood, as the marinade may permeate into the grain of the wood, leaving stains and a permanent aroma.