GoDaddy used to be a place I'd recommend only as a joke, but has significantly improved their service. They'll recommend you domains based on certain keywords, which is useful if you've not got the one you want available (they'll actually remove these from the search to try and not break your heart), and they've also significantly improved their hosting offering. They still continue to offer weird things like "email services" that other hosting companies provide too. Our GoDaddy Review.
NameCheap offers domain names to individuals and businesses, including a wide range of new TLDs that can draw further attention to your particular business segment. They also have a user-friendly control panel for buying domain names as well as offer hosting and tools for building your website. I personally used them to transfer over 25 domain names at once, and it took a few days and about three clicks. They're my go-to processor for names I'm just looking to hold.