Beaded pointing, flush pointing, recessed pointing, rubbed or keyed or grooved pointing, struck pointing, tuckpointing, vee pointing and weathered pointing.
You will need to examine the area where you think you need tuckpointing. If you see anything that is cracked or crumbling that could mean it needs tuckpointing.
A soft grip pointer is used for pushing mortar into the joint and finishing if a flat finish is required.
A soft grip tuck pointer is a short flexible blade with a soft-grip handle.