I can personally play the 4442 without any bother but the 1402 drives me nuts, the 4447 isn't too bad but certain combinations make stumble.
C Am F G7 goes
E C#m A B7 and to be honest thats as far as I'm competent to play in E
I don't find the E chord comes up all that often for me so I don't give it regular attention. For me the most common PITA is actually D to Em I'm drowning in Drunken Sailors and Waheyed till nothing rises up in the morning .