Your profile, the page where your screen name shows up first, is where people will find you and all your Hubs in one place. The URL for your profile is what you can give people, or you can give people your screen name. Once you have your account and screen name you can't change your screen name. What you could do, though, (if you'd like a name like "Gene's Travels", would be to open a separate account with that as the screen name (and maybe transfer your Hubs to that - and maybe even close the old account once the new one is up and running).
Before you do that, though, click on anyone's profile here (mine is long and has examples of the kinds of stuff you can do with your profile - so click on that to start); and see what people do with their profiles. Your profile can be a pretty central page in a lot of ways, so it's worth seeing the kinds of things people use if for.