Mind if I step in? Conquers is of course the OP, but when has a little matter like that got in the way of a whole lot of Morgan-rambling ...
The Aedra don't
really have realms, as far as we know. They invested a large part of themselves and their being in creating Nirn, and so they don't necessarily enjoy the same freedom of action and mastery over their own realms as the Daedric Princes do. Akatosh's realm is time-on-Mundus, Kynareth's realm is nature-on-Mundus, and so on.
That said, judging by the Dwemer orreries we've seen on occasion, the Eight Divines have their own planets, floating in the void of Oblivion - to some extent, they actually
are these other planets (some suggest that that's the only way that mortals can perceive the Aedra). For this reason, it's difficult to say what they're actually like - I'd suspect that, given the generally stasis-bound nature of the Aedra, they're a good deal more barren and serene than the Daedric realms. The three ones we know most about are the Eye of the Warrior (Akatosh), the Eye of the Sage (Julianos), and Arkay (the Eye of the Thief), collectively known as the 'Dominon Planets' and forming the cores of the three birthsigns/constellations - we don't know much about the others, so you can probably make it up. Here are a few cool resources on cosmology - a rather good article on the
Cosmology of Tamriel as discussed in TES:Redguard and a rather cool, if somewhat simplistic, image:
We know very little about the two Divines as individuals, but can probably gain a good idea about their characters by looking at their 'divine portfolios':
I don't know much about Dibella except for the fact that she's very much a goddess of love and lust, as well as a goddess of creativity (she made the Brush of Truepaint, suggesting that there's more to her than just love. I'd guess she's passionate, lusty and lustful, full of imagination and unchained creative spirit - compare her with Zenithar, god of creation and honest toil, and Mara, goddess of love and marriage. Given that they both have their own areas, I'd imagine that Dibella's personality is the opposite of that of those two.
As to Kynareth, there are a lot of sides to her. On the one hand, she's a god of sky, rain, and wind - a benevolent, kind goddess propitiated by sailors who want fine sailing and farmers who want water for her crops, as well as a 'mother nature'-type figure - her followers were kinda tree-hugger-y in Oblivion. But she's also got a wilder side - she presides over hunting rituals in Skyrim, was the closest of the Aedra to the trickster Lorkhan, taught the Voice to human-kind, and, during the revolt against the Ayleids, sent Morihaus-Breath-Of-Kyne, a stonking great winged minotaur-warlord, to help them. I'd imagine she's pretty changeable, like the weather; capable of great benevolence, but incredibly quick to stir into righteous anger.