There are six elements to the alignment of four wheels on a dual axle trailer: 1) are the axles perpendicular to the center-line of the trailer; 2) are the axles parallel with each other; 3 - 6) toe, caster and camber on each wheel. Any Hunter-equipped truck and trailer shop (as in big rigs) can measure all this. Unfortunately, the only things that can be adjusted on solid-axle trailers are numbers 1 and 2. If there are alignment issues with any individual wheel, there is a bent axle or spindle - either of which usually require replacement of the axle and realignment. From personal experience and the advice of professionals, a tape measure and straight edges may get you close enough for a few short trips every year, but it takes more sophisticated equipment for a complete and accurate alignment. As Don says, the plastic bushings found on most trailers are very soft and wear out quickly. Check all the things mentioned above (spring mounts, shackles, bolts, bushings, etc.), put on the new tires and watch them very closely for any signs of unusual wear. If it recurs, "seek professional help."
Rob