The two wallets I'm looking at are Coinbase and Blockchain, as they seem to be the most commonly recommended. Coinbase seems to be more of a place to buy bitcoin rather than a wallet, is that accurate?
Coinbase is a place to buy bitcoin (an exchange) and a wallet...it's not more of one than the other, it's equally the same thing. Coinbase is pretty good, just know that their customer service is challenging at times. So if you have an issue you might struggle to get it resolved. I've had good service with them, but others here have not been so fortunate.