Ive seen what purport to be surface 4 screens for around 120 on amazon, but I dont know if they really are the correct ones. (You have to be careful buying LCDs) To avoid the problem in the first place, I use a glass screen protector on all my devices. Ive broken many of the protectors, but the screens are always fine. (except on the Nexus 5, where the mid frame is weakened by the holes for the sim slot and volume buttons and cracks in half, taking the display and digitizer with it That issue is solved by a ridgid case like the ones from Spiegen)
3M 9448A black double coated tape. Its available from amazon. It looks like it may well be the stuff that was originally used on the surface pro. Put it on the screen edges and then VERY CAREFULLY trim the excess off the OUTER EDGE OF THE SCREEN ONLY. If you try to trim the INNER edge next to the LCD you will likely damage the digitizer connections.
I suggest putting it in a hot car until its really hot, like you can barely pick it up. then slide a very thin piece of plastic around the edges and take the whole screen off. (I did my 1st gen surface pro this way. ) Refer to the disassembly guide or tear-down to make sure you don't damage the cables. (for the first gen, separate the sides and top with the plastic card (you want something thinner than a credit card actually, like perhaps a piece of a milk jug or water bottle) Then til the screen up along the bottom edge. Do it SLOWLY and a little at a time and the glue along the lower edge will separate. Also, once the screen is free, let the laptop cool COMPLETELY before undoing the plastic clips that hold the FPC cables down. When hot its easier to break them. CAREFULLY clean off the old adhesive. Its a job that will take a few hours. Don't rush it or you will damage something. Use some 3M 9448A black double coated tape to put the screen back down. This will result in a much more professional and...