More suns (or other large gravity wells close and big enough to make a difference) will make the planets’ orbit rather unstable, probably moving it in and out of the Goldilocks zone on a regular base. Chances are that it ends up either inside one of the suns or in outer space before something serious can develop on it.

Having a bunch of moons, well it depends on the mass and orbits. if they are similar in mass, they will eventually synchronise their orbits, creating six tides a day. Or they don’t synchronise and collide, which would be rather inconvenient.

All in all, not a good idea to live on such a planet. We are seriously lucky to have only one sun, one (amazingly large) moon, and that Jupiter is that far away.

There is software with which you can simulate such constellations. Give it a try.