"best" way IMO would be to find the ring coming into the kitchen, and enlarge the ring so it goes all round the kitchen, with ample sockets and FCUs coming off it, isolate and remove all redundant cables and outlets. Provided it is in good condition and reasonably modern in PVC, otherwise run a new circuit for the kitchen.
It is very economical in labour and materials to run it say 200mm above worktop height (no need to keep going up and down except at the doorway) and you can put your FCUs here as well to feed cooker hood etc, as well as switches above worktop yo feed sockets below for appliances
If you have a wooden floor and don't mind chasing out the walls it is not very difficult, being in a kitchen it is notifiable work and all sockets (except possibly the freezer) should be RCD protected, not only for regulations compliance but also because you have e.g. electrical appliances like kettles, and sinks full of water.
You must not use junction boxes hidden under the floor or plastered into the walls. But if you can't take one leg of the ring to one socket, and the other leg to another socket, and run round the walls from one before returning to the other, there are ways of making a permanent joint.
there are more rules about safe zones I will not go into, but an electrician who is a member of a self-certification scheme will be very familiar with the job.
It is better not to have a socket on a cooker outlet.
the consumer unit (fusebox) may be outdated (this is notifiable) and earthing and bonding usually needs to be brought up to standard but this is very easy and you allowed to DIY without notification