I had the same dilemma when I smashed mine, I was looking at the cheap replacements on eBay and in the end went to one of those phone case shops that spring up everywhere and had it changed for £60. The replacement glass isn’t genuine and whilst it works it has started to discolour and has some bright spots about 8 months later, it has also lifted in the bottom right hand corner and doesn’t sit properly on the body of the phone.
My reasoning for getting someone else to do it? If they break anything doing the repair, it’s their problem not mine. I felt the extra cost over getting something off eBay and doing it myself was worth it for that piece of mind. However, if I was going to do it again I’d suck it up and get Apple or someone you trust to do a good job and pay a little more, Wysiwig from what I have seen has some really good feedback. I wouldn’t go to a random phone shop again (or Timpsons, they’re very expensive).
I can’t get mine re-done at Apple now because of the 3rd party screen so it’s a case of putting up with it. If I drop it again it’ll be insurance time.
I believe Apple use some form of bonding paste in the SE which could make things trickier, however I could be wrong.
Edit – I was wrong, no paste in the SE according to iFixit. https://www.ifixit.com/Teardown/iPhone+SE+Teardown/60902