There are some cute bed and breakfasts located downtown if you would like to stay in one of those.
There is also The Catfish Bend Inn and Spa located at the casino.
What are some good dining options in Burlington?
Some good local restaurants are:
GOOD Restaurant and Lounge
The Drake
The Som
La Tavola Italian Eatery
The Busted Cup Brewhouse
Napoli Pizza
Go Fish Sushi
Martini's Grille