From a general point of vue that doesn't apply to Nintendo, I like handhelds better since I think that home consoles are useless. Not useless as in "no reason to buy them given the society we are in" but useless as in "if they didn't exist, the world would probably be a better place".
Why this ? Because PCs can run everything and you can plug whatever controller you want (if consoles didn't exist, all controllers would be compatible with the PC, and big screens for computers would be more numerous so don't tell computer screens are too small).
This general talk doesn't apply to Nintendo since they for example introduced the Wiimote with the Wii, which is probably hard to play with on a computer since you probably need all the space that is available in the living room to play games such as Just Dance.
So yeah, I am more in favor of handhelds but I like Nintendo home consoles too, that's why I bought a 3DS and play Smash Bros Wii U at a friend's.