Welcome to living like a local. I have two racks with clothes or linens drying in my living room 3 days a week when the weather is cold or on the balcony when the weather warms. Then we iron. One trick I use is to hang the pants by the cuffs, so the weight of the pants straightens the legs. Also, I don't spin on the highest speed 1200, but on 1000 or 800 to lessen the wrinkles. Shirts go on hangers, but I still run an iron over them because I'm around people I know. Since, as a visitor, you won't be seeing people repeatedly, you might want to skip the ironing unless it's summer and you have linen dresses, shirts, and pants.
The only thing I miss from the US is soft towels, but the dryer at our local laundry is 5 euros for 30 minutes. I'll pay for some things, but not that. LOL.
We can consider ourselves lucky: my mother-in-law in Burgundy and cousins in Brittany used to hang their wash on lines strung across the garage in winter where it took three days to dry. But her own mother, DH's grandma, used a scrub board for washing.
Happy laundry.