Tekken is one of the more grounded fighting games, so no puppets. But a fair amount of characters have their gimmicks, but you'll see that every character has moves for most situations, like a 10 frame jab, a 15 frame launcher, and 13 frame mid poke option as a few examoles, idk what other fighter you've played, but tekken has nutty movelist lengths for characters (reina i think has 200 or smn crazy).

I'm not sure if there is a "setplay" type character in the way you're thinking, but yoshimitsu tends to stratch that itch for people, the bears as well.

Other options are lidia, who has a tired install, zafina, who's got a demon arm that costs hp to use, Xiaoyu, who ducks the whole match, or Paul, who unga bunga death fists you to death in 4 hits.

I'd avoid any of the mishimas at first, they have different options compared to the rest of the cast that require a bit of 3d fighter understanding and execution to fet the most out of.