Arduino Project: Relay & Camera Control

I'm looking for an Arduino developer for my super special photography project.

Here is what I have:

-Arduino Uno
-Nextion display
-30V battery

That's what I need/want:

-I need to use the setup in field for my camera shutter
-The Arduino has to control a relay to pass through 30V to my camera shutter
-The shutter is controlled by a magnet switch (pull)

Questions:

#What's the min time the shutter can be triggered?
#Can we power the Arduino and pass through current from one battery, or do we need a separate battery for the Arduino?
#How to charge the battery? BMS by Arduino?

Please let me know if you can do this job...it's my hobby, so I can't spend much here ? More than $50 would be out of reach here.