It's all about patience, the right tools, and advanced intel. Even the Surface Pro devices can be serviced, but I'd hit up YouTube-U and watch a few teardown videos so you know where everything is before you start.
I've replaced the batteries in a couple of Surface Pro 4s with pretty minimal tools. Hit up Amazon, get a bunch of bass guitar picks (better tactile feedback than most of the specialized device repair tools out there) and some suction cups to go with your heatgun. The picks are sturdy enough to push under the glue/tape but thin enough so you're not lifting the screen far enough to damage cables. Generally I try to get the whole screen to float 1/8-1/4" above the body with the picks as shims. It'll give you enough room to see if you're fighting double-sided tape or delicate ribbon cables.
Surface devices especially can get real expensive if you apply enough force to the ribbons. The way the contacts are attached to them, they'll destroy the contacts on the board before the cable itself gets hurt.
Give yourself a lot of time/room/light to work with, watch a few full teardowns from start to finish. The absolute biggest mistake you can make is to have any awareness of time while you're doing this. Even if you have good eyes, use a magnifier as much as you use the picks. Use heat generously, use force sparingly, pay attention to biofeedback. If your heartrate is up or you're starting to rush, stop and go do something else for a while.