What do you mean by 'copy runner wallet'?
There is a big guide right in this section:
https://bitcointalk.org/index.php?topic=1631151.0About buying crypto, the easier you choose to do it, the more information you generally would have to expose about yourself.
Many localbitcoin sellers require some type of verification, passport picture for example, and also the price difference as mentioned is quite big.
but there are sellers who doesn't ask for any information, so sure you could use it - just make sure you find a reputable seller.
regular exchanges:
KYC = Know your Customer, where a business has to collect your information, probably to fight money laundering and such.I often use:
coinbase.com > you can instantly buy with card, or bank deposit - requires KYC in form of passport, very easy.
kraken.com > only bank deposit > requires entering personal info, but doesn't require passport pictures unless you want a $50k monthly limit.
there are many exchanges beyond coinbase, depends where you are:
kraken/bitstamp = eu
gemini/gdax = us