I've never tried to tame any of our lovebirds because they came to us as adults, but I can say the masks and fischer's are quite a bit more aggressive than the peachies. By that, I mean aggressive toward one another and *extremely* so toward other species. You can't keep peachfaces in the same cage as masks, for example, because the peachies will suffer.
Having said that, though, our original colony was a pair of fischer's, two pairs of masks and a pair of peachies and they all got along just fine until some mongrel came one night and stole them. We had two pairs of masks and one of peachies after that, but it turned out the masks were far too aggro to allow the peachies to live with them. They had to be separated. Now, the masks are standoffish while the peachies are pretty chill whenever cage-cleaning etc gets done.
One other thing about lovebirds that you don't often hear is that they are absolute *slaves* to their hormones. The poor little hens can get incredibly frantic about nesting and breeding and cage aggresssion and everything associated with that. Do a search for posts about Casey's Munchlax to find out what you can do to help (although poor little Munch continued to lay and lay despite everything Casey did).
Despite all this, I can say that keeping lovebirds is *so* much fun! They are clever, feisty little birds and, if you keep a colony, they will have you in stitches every day as you watch them play together. I always feel sorry for lovies kept alone or in pairs, as they clearly prefer to be part of a larger family. Ours have a Slinky toy stretched across their cage (it's a metre wide to allow them to fly) and they spend most of their day running along inside it or bouncing on top of it or hanging upside-down from it. They're also pretty keen on the cheap plastic tennis racquet that hangs from a chain. They fly onto it and swing wildly back and forth, yelling at each other to show off.
If you do adopt a lovie, please consider adopting two. And, if you can, provide them with a cage long enough to allow flight (only needs to be a metre or so - height doesn't really matter).