can you use paypal on coinbase? do you need a creditcard? How long do the purchases take?
You either use a credit card or link your bank account with coinbase. Alternatively, you can buy ETH from sellers in marketplace of this forum. Some of them accept PayPal but the fees will be high due to higher risks of accepting PayPal.
Myetherwallet is one good and free wallet. But remember to secure your private key and beware of phishing websites.