4g amplifier/booster

[Captain1ndustry]

So I live roughly a half mile off the road on a private drive. And even though I work for a cable company having hardline ran out to my house is still a few thousand with my companies cost share program. In my house there is no 4g reception in the driveway however, you can get three bars at least. I am ultimately wondering if there is such thing as a 4g signal amplifier/booster than can be installed outdoors, is powered via coax and can also run signal back to an indoor antenna via that same coax powering it. If so I would install it on one of the utility poles right in my front yard and run the coax from the house to it. Hopefully I’m posting this in the right place if not, point me in the right direction and I’ll repost where applicable. And thanks in advance to everyone.