Best time to start accepting Bitcoin payments was yesterday, so the sooner you integrate it - the better! After all, it doesn't hurt to add more payment options to reach more customers!
As a few other people have already pointed out, you can choose to receive Bitcoin payments in fiat currencies if you are afraid of market volatility. Using crypto payment gateways can help you with that. For instance, with CoinGate, you can accept Bitcoin and other 70+ cryptos, and you can choose to keep received payments in cryptos or automatically convert them to EUR/USD.
You can easily integrate our payment solution with payment buttons, API, and official plugins for the biggest e-commerce platforms such as Woocommerce, WHMCS, Opencart, PrestaShop, Magento etc. And our automated gateway handles crypto payments every step of the way, from creating an invoice to confirmation of payment to customer support. So you don't have to think about how your clients will pay with crypto and how to track paid orders.
You can check us out here:
https://coingate.com/accept