Hi @Bruno Kozakowski-Kędzierski
Here is the link for the cost Azure Blob Storage pricing
Consider you have multiple tiers so you can configure you your storage account under Lifecycle management to move from one tier to another base or creation or modified date (ex. from Hot to Archive)
For performance it will depends on multiple things , especially on the connectivity between your on-prem site and the Azure Region where you do the backups. Also I do recommend to try it yourself to get a better picture . Make sure you compress the sql backup as well as split to multiple files
Regards
Javier