I agree with Kathy and Jessica.
Kids are rockstars!
We travelled when our baby was 10 months and the big girl was 7 years old. We went hiking in Murren, Switzerland then jumped down to Rome and finished in Venice.
In most restaurants in Italy, someone, the owner or waiter, would come out and play with and feed her while we were eating. One restaurant brought out five or six things for her to try for free when we did not order for her. Some of her first steps were in the Vatican. The workers there immediately perked up when they saw her. We also changed her diaper in the corner of a room when she started to leak out of her diaper, but we were done before the guard was able to say something (20 seconds) Nascar pit stop.
We stayed in apartments so we had a refrigerator and sink to wash clothes. We had reservations for as much as we could. We entered places when they opened. We went back to the apartment for nap time then went back out later. We factored in playgrounds every few days. If we found one, we would stop and play.
We used an Osprey Poco Plus Child Carrier. https://www.rei.com/product/895652/osprey-poco-ag-plus-child-carrier It is big enough to carry a baby bag and snacks for the day. It can sit up by itself as a high chair in a restaurant. She frequently fell asleep in it and I just took it off and left her in it while we took a break or a meal. It is loose enough for her to be able to move around. It comes with a sun shade, we also bought the rain cover to be safe. We tied her pacifier to one side and her favorite toy and her milk cup to it and we were good. She could reach her milk cup. We always walked with someone behind me to watch if she threw something on the ground. My wife and I practiced several months before our trip getting her used to it and us to carrying it. We are not in the best of shape and had no problems carrying it. If I stopped too long she would grab the handle and start shaking it!
We carried enough formula for the whole trip because she did not do well at home when we changed her food or formula. We bought diapers there when we ran out.
Our 7 year old was begging to come back before we left! After our trip, my wife thinks we were treated better than other US tourists because we were treated like family because we had kids.
Carry sunscreen for the little one! We travelled a year later, when she was 22 months old and ventured to Germany and more hiking in Switzerland and she loved it.
Go for it! You will have lots of fun.
Wade