I know LocalBitcoins as I have traded there numerous time and they're really doing a legit business from a long time. I have had no problems with them whatsoever and I would recommend them to anybody but this is the first time I have heard of Paxful and don't know if it is really trustworthy or not.
Are they like LBC and available worldwide?
I've used Paxful in the past to buy some Bitcoin with Paypal funds.
Everything went pretty smooth and it's really just a matter of finding a trustworthy seller.