Hmmm... What kind of Too in particular were you looking at? If I were getting a Too I would go with the smaller ones: the Goffin, Ducorps, Bare eyed (excellent choice if you can find one), or the Galah (i.e. Rose breasted). I would stay away from any of the larger Toos, Galah is the largest I would go, IMPO.
I love Greys, well socialized they may go to more than one person in the house but the typical grey is a one person bird.
Now others suggested the Ekkie... IMPO - an excellent choice! I LOVE my Ekkie. Ekkies have the same mimicking ability that the grey has. We have a male who loves being apart of everything we do. The female is often over looked because of their sometimes 'dominant' personality but they can make good birds for the experienced bird handler. I would stick with the males though. Our male doesnt seem to mind it when it gets busy around our house. The one thing with Ekkies is that in the wild they are one of the few parrots that don't bond with just one mate. Usually Ekkies live in large social flocks where they will mate with multiple members of the flock. Also cousins, sisters, borthers, aunts, uncles - all help raise each others chicks. With the Ekkie you are more likely to have a bird that will go to everyone in the house because of how they live in the wild. The females are dominant over the males and call the shots so the males are typically more docile/submissive. If you look around you will see tons of Toos in rescues, quite a few Greys but only occasionally will find a male Ekkie. There is a reason for that, it is because they are amazing birds.