I just downloaded and synced bitcoin Core.
So what address do I use to receive bitcoins?
It doesn't seem to tell me what it is.
When I click request payment, it generates a new address every time.
I don't want a new wallet address for every transaction. I'll never be able to keep track of them all.
I just want one address to use with this wallet. Is that even possible???
What am I doing wrong?
It is recommended to use a new address every time - for privacy and for security. You can simply reuse the same receiving address but it is not best practice. Lots of people do it though.
Your Bitcoin Core wallet has already generated a pool of (100) addresses for you to use. Every time you hit "request payment" it shows you another one.