BLS vs Schnorr vs ECDSA digital signatures

Bitcoin and Ethereum both use elliptic-curve cryptography for generating keys and signing transactions. The algorithm they both use is called Elliptic Curve Digital Signature Algorithm (ECDSA), which represents a secure way of signing a message (a transaction for example) using Elliptic Curve Cryptography (ECC). This is a comparative analysis of BLS, Schnorr, and ECDSA signatures. The goal is to understand why are Ethereum and Bitcoin migrating from ECDSA, why BLS and Schnorr are superior to ECDSA and what are the key differences between them, how to use these signatures in the development and which Elliptic curves they are using and why.