How to Fix a Squirrelly Front End?

You got a lot of good advice so far and Bobsyouruncle summarized it nicely, there are two things I would add to this thread is you don't say how long your MH is or the WB, but from your photo it looks short and looks like you carry a motor cycle or scooter on the rear. Short MH's with short WB tend to be heavier in the rear tend and have a light front. The added weight to the rear of the cycle will make the front end lighter and ride squirrely. The brake pulling is another issue, another thing to check after calipers are greased and piston is free is the rubber brake lines. After years of use the inside rubber swells and where it attaches to the frame it goes through a little metal tube with a clip. The metal tube restrains the rubber and the ID of the hose is decreased as the rubber swells creating in affect a check valve which in turn causes the MH to pull when brakes are applied. If you have never changed these lines and the MH is 15 to 20 years old with this pulling problem I would just change them.