There is nothing different between the blue and red ones besides well the color. They both will need 2.5 gallons or more of space to swim in, a nice warm water temperature. Filtration device that doesn't add a large current to the water, fish food and a owner who is willing to take proper care of him or her but im guessing you want the male for the flowing fins.
Red - redish and blackish body and red fins
Extended Red - red all over the body, from head to tail with no trace of black
Steel Blue - light and greyish blue with a little shine
Royal Blue - must darker than Steel Blue, and may look violet
Green - this color is hard to tell because most bettas that are green may look like a Steel Blue or Royal Blue, but once you shine a flashlight on it, the green will show out
Turquoise - a blue-greenish color throughout the body
Cellophane - basically the betta has no color, and the fins are transparent
Yellow - yellowish all over and carrys the iridescent of steel, green, and blue
Pineapple - yellow all over just like Yellow bettas, but there's a black border around some of the scales, causing it to look like a pineapple
Orange - lighter than Red and looks more like a dark tangerine color
Opaque - solid white and carries no iridescent glow
Black/Melano - black throughout the body and carries some iridescent
Cambodian - white body with red fins
Mustard Gas - green or blue body with fadeout yellowish fins along with some green or blue too, in some cases
Pastel - white body with alot of iridescent glows and has bluish-green, only blue, or only green fins
Chocolate - dark bluish or black body with yellow fins
Butterfly - the fins are divided in two colors. Half of the fin is one color and the other half another color
Marble - the body is one color with patches of another color throughout the body, thus the name marble
Patriot - a combination of red, white, and blue in an ordered scheme
Multi-Colors - a combination of three or more closely resembled colors or udderly different colors throughout the body
Note: Most colorations of bettas carry an iridescent glow. This means that in a very bright light or so, there is a greenish or neon type of glow off the surface of the fins and body.
Veiltails - this is the most common type of bettas you get at petstores. Basically, they have a long tail that looks like a wedding veil
Crowntails - a long tail with crowning on the edges, rather than rounded ends
Delta Tails - a long tail that has a round edge and when the betta is flaring, the tail would measure from 160 degrees - 174 degrees.
Super Delta Tails - relatively the same as a Delta Tail except Super Delta Tails would measure from 175 degrees - 179 degrees
Halfmoon Tails - when the betta is flaring, the tail would measure at exactly 180 degrees. If over 180 degrees, it's known as a Over Halfmoon.
Plakat - a betta with a short, rounded tail