After buying my three bitcoins last week, I have been waiting for them to appear in bitcon core desktop wallet application. As this taken almost a week sync and then "render blocks" its still not working and wont update my total.
So I got my private key, opend a greenaddress.it account and from here requested the three coins. But I cant use bitcoin core on my desktop wallet as it wont updated my total.
So is it correct that my coins are now safe in the greenaddress.it account, and I can just leave them there now and can I delete the bitcoincore application from my pc?
you didn't need to import your private key in greenaddress. if you wanted to check if you received the bitcoins, you just needed to check your balance in any online block explorer.
the most famous one is blockchain.info
also it is suggested that you create a new address there and send them to the new address. you can do this with 0 fee if you are sending it to yourself and don't want to spend the tiny amount of BTC, and you are not in a hurry