I would call them handheld consoles.
I call them handheld consoles too, but I don't put them with the other consoles.
So personally I would consider from your list that there are three major consoles (That currently corner the market), which are obviously the PS3, Xbox 360 and the Wii.
I happen to have 3/5 of your list.
I have no modern Sony consoles other than a sort-of-old PlayStationPortable from when it first came out.
I wouldn't personally get a PS3. And no, not because of a silly view that it can't play games or it's not as good, but because out of all the games I would consider buying for it they would all be games that I could very likely get on both Xbox and PS3 and PC or It would be Xbox only.
And I don't see the point in buying a game that is for the Xbox and PS3 and buying it for the PlayStation if I have a full gamerprofile on Xbox that I would prefer to build onto. The free online play of PS3 interests me, but not enough.
So personally, I have then, an Xbox 360 (Multiple, actually, both Arcade and Elite), A Nintendo Wii, a Nintendo 3DS, a Sony PSP, a Nintendo DSLite, Nintendo DS, GameboyAdvanceSP, GameboyAdvance, GameboyColor, Gameboy, a couple Sony Playstation2 and two Sony Playstation's, one being in the original chunky format and one being in the miniature compact version.
And that's gathered over 21 years since my older brother was born.