Finely chop hearts of palm, tomato, cucumber, chili pepper, onion, and cilantro. Using your hands or a small handheld citrus press, extract juice from lemon and limes. Be sure to strain out any seeds.
Add fresh ingredients to a large bowl and mix.
Season with salt, mix, taste, and adjust for salt once more if necessary.
Make it a meal and serve this ceviche de palmitos on a crispy tostada shell alongside my buttery garlic rice. I like to add a light layer of mayonnaise to my tostada before topping it with the ceviche de atún and a drizzle of spicy salsa. You can also serve it as an appetizer with store-bought or homemade corn tortilla chips!