fwiw, the crap at the bottom, (hot break, cold break, and mostly, hops) will be fine, and compact with the yeast cake, especially if you cold crash that bad boy before transferring.
i have done this with two of my last brews, and cannot be happier!
i only have whole hops right now so i use them as my filter bed in a strainer. works pretty well actually!
put colander over bucket. pour kettle contents through colander. hops build up in colander. act as filter.
dump all that crap down garbage disposal.