Florence hotel recommendations

A good place to start your search is Booking.com
Use the filters for budget, location, amenities

A king bed will usually be called a large double

Also search this forum
https://search.ricksteves.com/?button=&date_range=2y&filter=Travel+Forum&query=Florence+hotels

I found this on Rick Steves Travel Store and thought it'd help with your search:

Rick Steves Florence & Tuscany

https://store.ricksteves.com/shop/p/florence-guidebook/

Look at the pictures for the room you’re thinking of. I’ve noticed that beds are often listed as doubles, but are in fact king size.

We loved the Hotel Balesteri, its downtown on the Arno at a great location.

We use Hotel Argentina. It is a short walk from the train and bus stations, close to the Arno.

What is your desired price? I think you need to start that to get targeted responses.

Wherever you decide upon, I would book directly with the hotel and not with a site like booking.com.

That site is great for its reviews, but much better to book directly.

Wade through the reviews on Booking.com and on TripAdvisor; then contact the hotel to book. If you find a price on booking, com, or anywhere else, that is lower than the price offered by the hotel, the hotel will usually match that price. Sometimes the hotel will thank you for booking directly, and add a little extra because you did just that.

Another vote for Hotel Balesteri. Great location, friendly staff and walking distance to everything.

Check out Hotel California. Yes, that really is the name. Beautiful facility, and well located. Can walk to anywhere of interest from there.