hi windymiller,
yamaha amps are awesome. you can also pick up second hand ones that have great sound quality. NAD and Harmon Kardon as well are excellent and also older model marantz. usually amps with lots of whistles and bells don't include good sound quality within those whistles or bells. plus don't buy anything that says surround sound. cd's and vynil aren't mixed in surround so they sound crap when played back through surround. you just need something with A & B channel speaker outlets for the 2 spaces (rooms). i am guessing 360w min.
ditto what mackay says about the phono pre-amp stage. turntables also use different cartridges so a MM/MC switch is handy too.
you will need enough lines on the rear of the amp for cd, phono, aux
ditto again mackay with the speakers, i myself really like B&W. also celestion, Infinity and JBL. 3 way speakers are a must. and something with a 12" woofer. also, ported speaker boxes tend to get better bass frequency.
just to be a trouble maker i thought i would express my opinion that tubes sound better.....[}:)]
edit, re-read your post... so you need 3 spaces.

you will need to add up the ratings for each speaker to get an amp powerfull enough. it is possible to stick 2 sets of speakers through the one channel if the amp is powerfull enough. for the outside powered speakers may be the go.