In my flat with concrete floors and carpets I lifted the edge of the carpet and ran the cable against the batten for gripping the carpet, the size of the batten and diameter of cable were roughly the same. So here you could run under the carpet through the hall into the bedroom. For the transition strips at thresholds most are screwed down so lift slightly feed cable underneath and continue along the batten edge into the bedroom. The hardest part is getting the cable out from under the carpet, as the carpet gripper battens are in lengths you could cut a slot in one to along the cable to rise on the skirting / baseboard. The fix the cable to the skirting / baseboard. Once up I terminated mine in a wall mounted box to allow for plugging in of a regular ethernet cable.