Chill as much as you can bag the rest.
More importantly, you really need to address the uneven mixing.
I make my priming solution, cool it, and put it into the bottom of the bottling bucket. Then I siphon on top of the this and once there is a couple inches of liquid I start moving the siphon hose around in the bucket, making sure to keep the tip under the beer. Keep doing this during the entire siphoning.
On Tap: 1. Kelly R. IPA, 2. Roter Hund Hefeweizen, 3. Bud Killer Blonde, 4. Red Dog Pale, 5. Roter Hund Oktoberfest, 6. Pumpkin Ale, 7. McRed's Stout (with new nitro system and stout tap,) Cream Soda, 8. ESB # 3, & 9. Ordinary Bitter.