an older post on getting around at Gillette.
Can't tell you much about Providence, other than there's a decent downtown area for shopping a such. I am sure there's bars and clubs as well.
EDIT: be sure to check out Toby Keith's at Patriot Place. Live music Saturday nights, usually a big crowd. Good food and beer in Mason jars. Waitresses are friendly and generally attractive. Think Hooters for big boys.