What are your categories, and do you have a cap? Honestly I like to keep the best players as long as I can.
If this is a standard 5x5 roto league, I think I would have to cut 3 out of these 4: Ethier, Hart, Broxton, Gallardo.
I hate all pitchers, closers especially. You already have Lincecum and Scherzer that will be cheap, no need to cut a top catcher, IMO. Hart puts up solid numbers too, but with the hitters you would keep, you're already stacked.
With Johan and Lincecum and Scherzer, you have 3 (possible, depending on what Scherzer does) solid starters.
I probably cut Ethier, Hart and Gallardo.
It's a 5x5 roto with the cap being $260. At least last year it was. I'm assuming after all the players are 'kept' the new cap will be $260. That's the way I understand it. I'm new to this particular league. Which brings up another issue. I would assume that all the remaining players that weren't keepers will have inflated purchase prices. Teams are going to have more money in their budget to spend especially if they primarily kept their bargain players.