I camp with 4 of those Pet Yards... go all the way around the UHaul
and gives a small "yard" for the girls (a sheltie & a cocker). They are a bit bulky, but not more so than a pvc one. They make a lot of noise when opening and closing them up.
I'll have mine at the get together in Camden, AL. If you are coming, you'll be able to see and play with them before you decide if you want to buy. If you do buy, buy from Walmart, online. They are around $50 from Walmart. I had mine shipped to the store for free shipping.
It sounds weird, but for Chihuahuas you might want to consider a portable playpen. The newer ones fold up and have a carry bag. It is the only thing I can think of that would meet your light
& easy to store desires... you can probably find something at a thrift shop.