You don't need to eat at an 800 cal deficit, 500 is probably a better choice than 800 anyways. But yeah, don't push yourself too much, if you feel shitty and miserable you're more likely to give up or make up for calories back snacking/eating too much later.
Being 6'2 and 170, 1,500 calories is probably a good amount for a deficit
To make sure you stick to it just count your calories and portion out your food to spread it over the day and just keep powering through it even if you want to eat more, you adapt to the deficit surprisingly fast, like within 3-4 days usually for me.
But yeah, basically, drink a lot of water or tea or sparkling water or black coffee or w/e, eat slowly etc.
Also another aspect of distracting yourself I find, is you can't distract yourself with things you ate or snacked while you did them. So likely watching TV/movies, maybe playing vidya
As for how much an average workout burns, it depends on the intensity and the length of the workout. Overall though, it won't burn THAT much. Like jogging for an hour only burns 400 calories, so don't go and eat an entire pizza and expect to jog it off. Exercise is mostly for health and so you don't become disgusting and skinnyfat.
But yeah, in summary, you don't have to do an 800 calorie deficit, you don't even have to do a 500 one right away, if you have trouble just work your way down until your stomach shrinks/you can deal with being a bit hungry better.