Duffles. When I was a kid, we camped in a hard sided trailer. We were each alotted one wash basin to put our clothes in. We always had a jacket and mud/wet shoes in the camper in a closet. The dish pans fit into an overhead storage compartment.

Plastic totes that are actually stackable drawers. DH gets one and I get one. Works great for us.

Duffel bags.  You're camping, not on the fashion runway.
FWIW, I don't even shave when I camp.

We go with the luggage/duffel bag combo -

duffel bags for the biking clothes, luggage for the normal clothes.  As to where to put them in the camper...we're lucky, 2 king size beds and 90% of the time it is just the two of us. I call the one bunk my "crawl in" closet  🙂

Who's laughing at paper bags?  ;D

I use plastic grocery bags to subdivide clothes, then shove them into duffel bags or something. Last trip I shoved the bags directly into our pathetic excuse for a wardrobe, one bag per person. It's 5" wide.

I need to work on that....

I use luggage.  I find it easier to open up the whole side of the suitcase to find things rather than to look through a duffel bag 

Where do I keep my clothes....on my bunk, just like in a tent, you sleep next to your stuff.  I have a King and a double.  2 people can sleep on a king with a suitcase and other misc stuff on the edge.  The double can easily have 1 adult and their stuff.  If you have more people, then just throw your suitcase or paper bag under the table. 

My BIL (camped in a TT as a kid) always says the same thing, there is no place for your clothes in a popup  >:(  Yes, I don't have a dresser to fold my socks and shirts neatly and organized.  But I live out of my suitcase when I am in a hotel so whats the difference?