here is the procedure to replace the instrument cluster, from the service manual for your car. Once the cluster is out of the car, replacing the speedometer head alone is usually just a matter of removing whatever screws hold it to the instrument cluster.
No manual in existence lists all specific wrench and socket sizes or tools required for a particular procedure.
In general, for a job of this type you will probably need a 1/4 drive metric socket set, screwdrivers, pliers, and possibly a Torx driver set 9depending on what type of fasteners the manufacturer chose to use back then). These are all very basic hand tools you probably already have in your tool set.
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No the other enfd of the cable does not go to a tire; it is attached to a drive gear inside the transmission, and turns at a speed based on output shaft speed. The transmission end of the cable does not have to be disconnected in order to remove the speedometer; the cable stays in place in the vehicle and is disconnected at the instrument panel end.
The procedure states that there are 4 screws holding the trim panel to the dash, and 6 screws holding the cluster assembly to the dash, and then 4 more screws holding the front panel on the cluster for a total of 14 screws. Unfortunately, no manual shows the exact location of all the screws, but screws are generally out in the open and easily seen. there are no trim plugs or anything to hide them...