I have a listing for a wonderful 4 BR 31/2 bath house in Fox Chapel for rent -- it can be fully furnished if needed. Please contact me at (412) 521-5500 x 302 or firstname.lastname@example.org and I'd be happy to give you more information.
I live in the Fox Chapel area and know of some newer construction properties that are available. they are not furnished, but you could call or go online to CORT furniture rental. They are very easy to work with and have different options depending on your budget.
I don't know myself, but I know who would: Helene Prince of Coldwell Banker rental division: email@example.com. (I do see one listed on Fair View for $8000/year; doesn't say whether it's furnished.) Good luck! (I'm originally from New Britain & then West Willington, CT.)