Q: i lost my iphone 5s, i want recoverd my photos, how can i do it?? also i had icloud

The only thing that you can do with an iCloud backup is to use it to restore to the same device or to a new iOS device. iCloud: Restore or set up your iOS device from iCloud

If the backup was to iTunes, you can use that to restore to the same device or to a new iOS device: Restore your device from an iCloud or iTunes backup - Apple Support or you can use a 3rd party utility to extract data from the iTunes backup. One example is https://www.wideanglesoftware.com/ibackupextractor/

If you had the photos (or contacts or other data) synced to iCloud, you can log in to https://www.icloud.com/ from a computer and download from there.

Hi

When you get a replacement iPhone just use the same apple ID / password

In setup  when it aks you if you want to use iCloud back up say yes do this over your WiFi .

Cheers

Brian