For the first washing, you really want to use Synthrapol and a machine that uses lots of water. If any dye bleeds, Synthrapol will keep the loose dye particles suspended in the water to be rinsed away. You want lots of water so that, if there is a bleed, it will be greatly diluted.
If you used a cotton or wool batting, you may get a change in the appearance of the quilt. This is because cotton and wool batting typically shrink about 3%. Many of us really like the crinkling effect this produces, which is the same as vintage quilts have. If you used a polyester batting, there may be little or not change in the look of the quilt.
For the quilt to keep integrity with washing, it's important that the quilting be spaced consistent with the batting used. If the batting requires close quilting and the quilting lines are far apart, the batting can shift within the quilt. If the quilting is consistent with the type of batting used, this won't be a problem at all.