I am wondering what are the ways to accept crypto payments in an online business. Should I share my wallet address and ask clients to send payments to it? Isn't it troublesome?
It's not troublesome, that's the traditional way to receive payments and there's no need to make things complicated.
Payments could be sent to the wrong wallet address and also it would be difficult to manage the transaction history. What should I do?
Nope, it's not going to happen. Each wallet address is unique and you can simply print the QR code for that wallet address so that your customers will just have to scan it for you.