Don't ever let grains or any grain debris touch your finished wort!
Grain is noted for having lactobacillus and stuff on it- which is fine, since you boil the wort after steeping them. But then, don't let the boiled wort touch anything unsanitary afterwards.
If you want to strain your wort, the easiest was is to buy a "paint straining" bag from the hardware store, or a very big mesh nylon bag from the homebrew store. Sanitize that, and line your fermenting bucket. Pour the wort in there, and then lift out the bag. Of course, once fermentation occurs you can't do that, because you'd ruin the beer by oxidizing it, but for wort it will help oxygenate it.
I don't strain my wort, but if I was going to, that is how I'd do it. If stuff is clogging your kegs, I'd look at process rather than straining the wort more. You shouldn't ever have "chunks" in the finished beer, although occasionally I've had some hops debris from dryhopped beers.
Broken Leg Brewery
Giving beer a leg to stand on since 2006