PayPal is one of the safest ways to send and receive money online.
Requesting money from someone is a function which PayPal offers it's users to perform, but to receive the money you will need an account, if you don't already have one. This is because the money they send will be stored in your PayPal account.
If you are worried about whether it is safe to create a PayPal account, it is, because they do not ask for any credit card or bank details. You may connect your credit card to make online payments easier, but this is not required.
The only personal piece of information they need is your address, but this is because of certain laws which they must abide by. PayPal will never ship anything to your address or send any bills. This address is sometimes used when you purchase products online with PayPal and they need to be shipped to you. Or, if someone has hired you for freelance work, they may need to know your address for tax purposes.
For more information about PayPal money requests, see their page here: Request Money from Friends Family PayPal US
If you need help sending a money request, I have found a clear step by step guide here: How to Request Money via PayPal Sapling com
I hope I helped you out and that you successfully sell your jewelry!