I'll take some wild guesses here and re-sign some folks:
1. Kempe, 5 years, $5,500,000
2. Lemieux, 2 years, $1,750,000
3. Grundstrom, 2 years, $1,500,000
4. Anderson, 4 years, $3,000,000
That gives us the following roster:
Kempe - Kopitar - Kaliyev
Moore - Danault - Arvidsson
Iafallo - Byfield - Grundstrom
Lemieux - Lizotte - Kupari
Anderson - Doughty
Bjornfot - Clarke
Walker - Roy
Quick
Petersen
That leaves us with over $7,750,000 in cap space for various improvements. The biggest areas for improvement to me at least are a left-shot defenseman (Chychrun? Provorov?), a bottom-six winger with size (Deslauriers?), and a blue-chip goalie prospect.
This roster is missing a few big pieces too: Vilardi, Anderson-Dolan, and Durzi. I could see us moving Kupari and Walker as well. Maybe we send some combination of these players for Jakob Chychrun and Tyler Bertuzzi?
Bertuzzi - Kopitar - Kempe
Moore - Danault - Kaliyev
Iafallo - Byfield - Arvidsson
Lemieux - Lizotte - Grundstrom
Anderson - Doughty
Chychrun - Clarke
Bjornfot - Roy
Quick
Petersen
These moves leave us with just shy of $2,000,000 in cap space (which would likely be used on a 13th forward and 7th defenseman). This would be a very solid roster next season in my opinion.