I'm on my 6th batch of homebrew, 5 different types (one type I have done
twice) - so I am still quite new to this. I have noticed some transfers
to the primary have had more stuff to strain out than others.

I siphon from my brewpot into my primary. When I use a bucket I strain
it through a large stainless kitchen strainer. Some batches this works
for the whole transfer, some I have to stop when the strainer gets
clogged and remove the gunk before I continue the siphon. My last batch
I used a 6.5 gal carboy for my primary. I used a stainless funnel with
the same large strainer on top of it and it worked just fine.