I've never done the mountain tour but I remember what a great experience MarzNC and co had--that seems like it would be a great way to get started.
Which area tends to soften up first? Is there an area that is best skied early due to getting more skied off etc?
In this snowy year you may not need anything to soften up--it might be very soft already! But starting on Upper College is a thing. It gets the sun first, and it gets skied out first. That's the run that has the iconic view of Ketchum. The light is also really good in the am for a photo.
At the bottom of UC you can either cut over on Roundhouse Lane and take the chair back up the mountain, or, Upper College>Lower College>River Run is a really fun top to bottom green run (steeper than most greens though). A lot of people do will do that then move to Seattle Ridge. You can go Roundhouse Lane>Guntower Lane> Seattle Ridge chair, or, if you've skied to the bottom, just take the gondola back up and take Guntower Lane to SR. Seattle Ridge is all greens but everyone skis there--don't think it's just for beginners. The snow always seems to be good there. There are nice mellow (or sometimes bigger) bumps on the sides of some of the runs (Gretchen's for instance) that I like to practice on.
If you are into first (or early) tracks, it's faster to take the River Run and Lookout Express lifts to the top than it is to take the gondola and Christmas.
Warm Springs, which is a run you really have to do--3200' of true fall line skiing--doesn't get sun until the afternoon. I sometimes like to go there in the morning when conditions are good because so few others do.
Which green runs and blues are the easiest ones?
The easiest is the short River Run run. Since this is at the very bottom, if there's been any freeze/thaw, it probably won't be good in the morning. It's also really short. Second easiest, and more of a real run, is Leigh Lane>Broadway on Seattle Ridge. Then the rest of the Seattle Ridge runs. When you want to leave the Seattle Ridge area you can take Lower Broadway down to the Cold Springs lift which delivers you right to the Roundhouse. Lower Broadway is the other easy mellow run on Baldy and for some reason I just love it. Hardly anyone ever goes on it or the Cold Springs chair (which is quite old) so I do big wide turns and have a lovely time. Oh and there's also Olympic Lane/Ridge but those are mostly cat track and just go to the bottom. Lower Olympic is probably the easiest blue on the mountain.
Most of the blues have a pretty good pitch, so I wouldn't say there are any easy blues (from the standpoint of pitch). Something I love is Upper College>Flying Squirrel>Lower Warm Springs. Flying Squirrel just doesn't get much traffic.
If you want restaurant or other tips let me know. A few things to know, there are free cubbies in the River Run lodge so it's easy to boot up there. The Lookout has the best food deals on the mountain (it's Mexican) because it's an old ugly building and that's how they get people in the door. The new lodges ie Seattle Ridge are very comfortable but I find them a little generic--they could be anywhere--so I prefer The Roundhouse. The food is fantastic. If you don't do a sit down lunch you can stop in for a cup of water and to warm up at the fireplace, or get a drink at the bar. Don't worry about just barging in and just looking at the photos or warming up at the fire, people do it all the time. When the weather is warmer, and it may be for you, the Roundhouse deck is a lovely place to be.
If you have a car and extra time, drive up to Galena Pass or Galena Lodge. You leave all development behind about 10 minutes out of SV and it's so pretty. There are a ton of hot springs in the area too.