Asked (ēitēsato). Aorist middle (indirect) indicative, asked for himself (as a favour to himself). Cf. 2Sa 7:2.
A habitation (skēnōma). Like Psa 132:5, but it was a house that David proposed to build (2Sa 7:2), not a tent (skēnē) which already existed. Skēnōma here means a more permanent abode (oikon, house, in Act 7:47), though from the same root as skēnē.