We recommend the Ho Hum Motel. Check here for their site.
Both the staff and rooms are very nice and it happens to be on a CCTA Bus Line (which will be helpful due to limited parking at UVM).
Ho-Hum Motel
1200 Shelburne Road (Route 7), South Burlington, Vermont
Phone No: 802-658-1314
Cab Numbers:
Green Cab
(802) 864-2424
http://www.greencabvt.com
Benways
(802) 862-1010
http://www.benways.com/
Yellow Taxi
(802) 862-3300
Check out the Champlain Valley Chamber of Commerce for more information about hotels/motels in the areas! Look here for their site.