Syncing resolume bpm with the sequencers bpm would get you half way to sync the visuals to the beat.
You can set the clips(or the whole composition) to bpm sync and their timeline to bpm,so they will wait for the next bar/beat - whatever you set - to begin to play.
The other half then would be to know the songs, you can of course plan your visuals, and you can even automate simple things in resolume. - look for autoPilot.
For more complex automations you can use third party OSC softwares, to automate column launching, or effect parameters.
Also there are a lot of control options for resolume, like midi devices, OSC programs that run on a tablet etc.
this section of the manual shows the options: https://resolume.com/manual/en/r5/controlling