I have a top-loading HE washer. I rinse in warm in the sink. Then I wash in hot-ish w/ Synthrapol in the sink. Then I run it all through the washer with hot water & synthrapol. I have the new low-foaming version.
I've never had any problems. Last summer I dyed tshirts ($2 at CVS!
) and wore them a lot! After the dyeing and the above washing, I now wash them with the other clothes. They've probably been washed every other week since Sept. All are still bright and I've not had any running.
(I dye using Ann Johnston's Low-Water Immersion methods most of the time. Course, then there is snow dyeing and tie-dyeing....
)