If you have a good literary agent, you don't need to shop around because agents are typically familiar with a wide range of contracts and know what to expect from them.

If you don't have one, it's extremely helpful to join the Authors Guild, which has lawyers who will review your contract for free. It's a great service:

https://authorsguild.org/legal-services/contract-reviews/#:~:text=Our%20legal%20team%20will%20review,publishing%20and%20self%2Dpublishing%20contracts