what is a bitcoinadress
A bitcoinadress looks like a random letters and numbers. Mine looks like this: 12ghRJcYFS8mdz68Y27WtPVbWVaBEj3YTG I post this adress on faucetsites and when I claim there my satoshi, the bitcoins come to my (micropayeer) wallet. You can get such a bitcoinadress for free. My online web-wallets coinbase and blockchain give me everythime an adress is used, a new one, for safety reasons. But the old ones keep working!
My first bitcoinadress I created on coinbase. I seached on google reviews and if you are looking for a online web-wallet (there is also an app if you like your smartphone) coinbase seems very secure en trustworth! Allthough bitcoinadresses are anonymous, you need to upload your id-card and confirm bankaccount if you really want to buy/sell bitcoins with the account. If you only want to send and receive bitcoins, that step is not necessary.
When coinbase started to ask fees for sending bitcoins, I searched for an alternative web-wallet. Blockchain is also very trustworth, and you can change the amount of fee you want to spend for sending your bitcoins. Be aware that a transaction may never be sent if miners don't dive your block with a very low fee. But when a transaction is not sent, you will get a refund so you don't lose anything.
You may want to create an online wallet on block.io if you not only want a bitcoinadress, but also a litecoin, dogecoin adress. The website seems less experienced and monitored.
jaxx mobile wallet
This one was the only trustful wallet that accepted the fork of bitcoin cash: your bitcoins in this wallet = the same equivalent in bitcoin cash.