Little update on the house issue: neither of the two toons I'm currently running under this "option" are able to get the dialog options to buy a house anywhere. This is, as I said earlier, fine with me. For those who think it's okay to line the pockets of one of the Jarls just to get a house, you probably do NOT want to go this direction.
Serethil, I can confirm this. In fact, that's why I checked back on this thread. The jarls will say, "you can buy property, talk to my steward," but there's no option. I've tried resetting the steward's AI, recycling the steward, to no avail. In Whiterun, the quest to buy Breezehome is Favor253. Using
~ getstage favor253 returns 0.00. Even if I use
~ setstage Favor253 10, it still stays at 0.
I cheated and gave myself a key and joined the Breezehome faction, but the ironic thing is that the house is unfurnished except for Lydia's alcove! No option to furnish it from the steward. Oh, about Lydia: After the Jarl told me she was assigned to me, I headed towards the door of Dragonsreach. She was standing near there, and as I approached, I heard, "Hey, troll-bait!" in a woman's voice, but not Lydia's. It had a lot of reverb and sounded distant. Then Lydia addressed me, but not as Thane.
I have a similar problem with Solitude, yet although the steward had no purchase dialog, I did successfully "buy" Proudspire (no money down!) using the console. Jordis is there, yet although the Jarl named me Thane, Jordis just greets me as an amiable dolt, not as Thane. She had some odd dialog at the beginning when I found her there, something like, "I can't thank you enough for this opportunity."
I've had to abandon that character. Too many weird bugs cropping up lately.