If you have an IB (Interactive Brokers) account set up, you can also paper trade in the Account Management module

The best paper trading software out the is easily thinkorswim

Most other brokers with paper trading capabilities requires you to have an existing account which requires a minimum that isnt $0 .

Personally if I were you I would do thinkorswim. It is an amazing platform completely customizable where you can choose you amount of money, chart size and location, you can run scans even pre/post market and just do everything. There is a 60 day free trial I believe