No. If law enforcement becomes interested in traffic from your exit relay, it's possible that officers will seize your computer. For that reason, it's best not to run your exit relay in your home or using your home Internet connection.
Instead, consider running your exit relay in a commercial facility that is supportive of Tor. Have a separate IP address for your exit relay, and don't route your own traffic through it.
Of course, you should avoid keeping any sensitive or personal information on the computer hosting your exit relay, and you never should use that machine for any illegal purpose. [0]
A bridge is different than running an exit relay. A Bridge allows someone who's ISP blocks access to the TOR network to bypass that by connecting to your bridge.[0]
Bridge relays are Tor relays that are not listed in the public Tor directory.
That means that ISPs or governments trying to block access to the Tor network can’t simply block all bridges. Bridges are useful for Tor users under oppressive regimes, and for people who want an extra layer of security because they’re worried somebody will recognize that they are contacting a public Tor relay IP address.
A bridge is just a normal relay with a slightly different configuration.[1]
> Should I run an exit relay from my home?
No. If law enforcement becomes interested in traffic from your exit relay, it's possible that officers will seize your computer. For that reason, it's best not to run your exit relay in your home or using your home Internet connection.
Instead, consider running your exit relay in a commercial facility that is supportive of Tor. Have a separate IP address for your exit relay, and don't route your own traffic through it.
Of course, you should avoid keeping any sensitive or personal information on the computer hosting your exit relay, and you never should use that machine for any illegal purpose. [0]
[0] - https://2019.www.torproject.org/eff/tor-legal-faq.html.en