D&D is way more fun when you roll your own character and get into the gritty details and customizations. Not good enough? Here are links to 100 Tavern Names, Well Over 100 Tavern Names, and a Tavern Name Generator. Here are a few ideas if your creative juices are otherwise engaged.
Pick out a good tavern name, bonus points if contains a pun. This isn't the place to get creative - just anchor your players in a setting they can imagine and build from there. Want to make it even more memorable? I have some ideas for you. It ramps the difficulty up nice and slow, introduces role playing elements early, has a nice town with a healthy supply of NPCs and side quest plot hooks, a mid-level boss and mini dungeon ( Glasstaff & Tresendar Manor), and a Big Bad Guy with a full dungeon ( Black Spider & Wave Echo Cave). Included in included in the D&D Starter Set, it has just about everything you need in a good campaign, and sets you up nicely to transition into something else when it's done. The Lost Mine of Phandelver is a great starter adventure, whether you're brand-new DM or have been rolling 20s since the 80s.