Well, EVERYONE gets rejected at some point, whether they have CP or look perfectly "normal". And yes, there are some people who won't date someone just because of a disability...like you said, it's stereotypes. But there are plenty of people who see past disabilities easily. Others need some time and need to get to know disabled people before they feel more comfortable (I know even I feel uncomfortable around others in wheelchairs once in a while!). So try becoming friends with girls first and, after a while, ask them out.
The point is, don't get discouraged because there are people out there who will have no problem accepting you...you just have to find them! Look at it this way, CP makes it easier for you to see which people are shallow and which are good girlfriend material. (And I happen to agree that guys can get dates more easily than girls

).