If you mean payments for when you are selling something on your site, then yea BitPay is one option(even though I hate paying through BitPay). An alternative is BTCPay[1], though I really don't know which is better. Proceed with caution as I really haven't tried implementing either on a website myself.
If you mean for donations, then you can simply add in a wallet address and a QR code somewhere on your site.
[1]
https://btcpayserver.org/Can we talk about a truly decentralized market as long as BitPay and other sites involved as a middleman? I think we should find another ways.
The "
other way" is listed right there in what you quoted. BTCpay Server is one that you run and manage yourself. You effectively become your own payment processor.
I couldn't tell you properly, I think.
I actually asking different thing. For example some platforms accepting crypto payment. And they are managing over hundred of thousand crypto wallets. My question is how can they managed it? If there is a easy way to do it, we can use same way for our websites.