Delta Blues
What types of blues music are out there?
I only know two kinds. Urban/Chicago blues and Delta Blues.
Can anyone here educated me about the types of blues that are out there and provide a link as an example for each type?
And are Urban Blues and Chicago blues are the same?
There are a number of sub-genres of blues. Many of them really have few unifying stylistic traits, such as Kansas City Blues, Detroit Blues, etc.
Those that are clearly distinct include:
Delta Blues -
Charlie Patton, Spoonful Blues
Piedmont Blues-
Blind Willie McTell, Statesboro Blues
Texas Blues-
T-bone Walker, T-Bone Shuffle
http://www.youtube.com/watch?v=MOiwUREwZNE
(electric Texas blues of the 1940's onward was heavily influenced by jump blues, and in turn, heavily influenced West Coast blues, mainly due to the migration of people like T-Bone, Lowell Fulson, Pee Wee Crayton, etc.)
Jump Blues- (actually an offshoot of the small postwar jazz/swing combos)
Amos Milburn, One Scotch, One Bourbon, One Beer
Classic/Vaudeville Blues
Bessie Smith, I Need A Little Sugar In My Bowl
Chicago Blues actually comprises several styles/period. In addition to the classic Chess period of Muddy, Wolf, Little Walter, etc,, there is also the earlier Bluebird Blues-
Big Bill Broonzy, Hey, Hey
and the later West Side Blues-
Magic Sam, Easy Baby
there are other sub-genres, but that ought to keep you busy for awhile 
edit:
Just noticed the last part of your question. Urban/City blues is another of those broad terms that are too vague to have much meaning. Basically, it encompasses all electrified blues that were informed by an urban setting and urban culture. It is not the same as Chicago Blues. All Chicago blues can be called "urban", but not all urban blues can be called Chicago Blues.
Whats On My YouTube Today?
What's a 3 string Cigar Box Guitar? It can take your playing back to the roots of early Delta Blues
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