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An electrician would probably be a good choice because they deal with this kind of problem but not every electrician would be interested in making the cable ends at junction boxes or putting plugs on the ends of the cable.
Do you have access to the ceiling under carpet/hardboard/floorboards? If you do then it should be a lot easier. Sometimes you need to cut into the plasterboard and then patch it to make good, the making good is generally where electricians will let you down.
Once you have a few ideas about how to 'fish' cables you start to make better choices about technique and it saves on damage.
The powerline adaptors are decent in some installations but they can be very much slower than a direct cable connection.
Not sure this is the right thread for this question but I know there some wise ppl on here - I am annoyed with my internet so would like to move my Hyperoptic plug from the utility cupboard to the lounge so that the router can be closer to where we actually use wifi. I want this run through the ceiling behind the plasterboard so that theres no ugly cabling. Who does this? A sparky? Is this a sensible move? I have powerline Adapters (WiFi Range Extenders/Boosters). We struggle with regular drops and Hyperoptic say its not them, its the 3rd party units.