anywho GE and MAYTAG are very good brands in North America.
As for the cleaning...every stove has different difficulty levels in cleaning. Our stove has a auto clean feature...but even with it we gotta do some manual work.
GE Offers the GE PROFILE series < very good. we have a dishwasher from em.
And MAYTAG got the new dual layer thingys..its called MAYTAG GEMINI, if you dont wanna spend so much they got the MAYTAG ACCELIS