You mentioned lint, do you mean threads and fluff? Since we're playing with fabrics, that's part of the game. Fabrics shed fibers, and little thread ends travel around and stick. It's going to show up on your pristine white fabric, but I also have it all over my clothes too. A lint roller can help with that.
If you're talking about bleeding when washed, that's another huge topic
. Many quilters over the years have wrestled with colors bleeding onto white after being wet. I prewash all my fabrics (by hand, not in the washer, they shred too much), use a color catcher sheet in the washer, and cross my fingers. If that is what's happening, there are going to be a lot of opinions about how to handle that problem. I'm sure that others on this forum have dealt with it too. It's awful to have your beautiful quilt ruined by colors traveling around on it.
Let us know how things go. Kathy