I don't know and never tried localbitcoin but some are suggesting this website and actually I only bought my bitcoin through my local exchange since I think its much safer and less hassle and can be transfer on my bank account faster and no fees at all. It will depend on which exchange you think is safer for you.
Actually I am not trying to use localbitcoin or local cryptocurrency because I believe that the safest crypto are those coins or tokens that are in the top 5 on the current coinmarketcap and it is kind of sure that this is more safer and wr can avoid those coins that are shit coins or trash coins because those coins that are in the coin marketcap already provent that all of them are legit and not shitcoins.
There are still good local cryptocurrency that had good exchangers but I didn't know if it is really good because I also never tried to do it. Just a sayings from my friends that those are also good.