Smart bands or smart watches as mentioned in the comments are an excellent method (as they can vibrate you awake).
Another option is to add white noise to the room to help keep the sound from bothering your newborn. A fan, for example, or a white noise generator (some alarm clocks serve this dual purpose!). This would make it more likely that the newborn not be as bothered by the sound.
Finally, you should likely be used to the fact that your newborn will wake up sometimes when you get up. You'll also find, though, that usually children will simply go back to sleep with a bit of soothing - and if they don't, they likely would've awoken anyway (needing feeding/changing/etc.).
Given that newborns need this sort of attention every few hours anyway, it may be worth working that into your wake up from tech support page routine: wake up, check if baby is wet, if baby won't immediately soothe get a bottle, etc. This may actually help your baby get a better night's sleep overall if you're being proactive about these kinds of issues.