Airlines determine bag prices, not the airport. Ask the airline you're flying. Southwest charges nothing for 2 checked bags. Allegiant and Frontier charge for a carry-on. It varies.
Back in the day, you could store your guitar in the cockpit. Now you must check about everything. Your calculations are correct. 70 to 80 bucks but it could go up depending on the airline.
Cost varies and depends on the airline
Which airline would determine this. For example, American allows only 1 personal item if it's a basic economy ticket. If it's a budget airline, it's usually cheaper to pay for bags in advance.
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