Some signs that you're on the right track with disposal:

• Your device has a removable battery. That's a big one. Being able to pop out the battery means you can recycle the battery separately and often trash the rest (after wiping any leftover e-liquid).
• Your local waste authority lists vapes or e-cigarettes on their household hazardous waste page. Some cities make it easy with dedicated drop-off days.
• The retailer where you bought the device offers a take-back bin. More shops are doing this, especially for single-use disposables.
• Your device is rechargeable and you can find a battery recycling drop-off at big-box stores like Best Buy or Home Depot.

Basically, the easier it is to separate the battery, the better. That's the core of safe vape disposal.