If you're not familiar with it, read up on Moment of Inertia.
As a generalization, tire material is heavier than most wheel material. For that reason, it sounds like bigger wheels should be lighter and respond better to acceleration and braking forces, but that's not the whole story. When you go up in wheel size (even if you keep the same overall diameter) you're moving the heaviest mass closer to the outer circumference. More weight/longer lever means it takes more torque to accelerate the mass and more torque to stop it.
For instance, if you had a 10 lb disc of solid steel and another disc where you cut out a bunch of holes and weld them onto the circumference, the one with more weight toward the outside would require more force to spin it. They both weigh 10 lbs, and they're the same diameter, but the one where you moved mass toward the outside will require more torque to move it and stop it.
The secret isn't bigger or smaller, it's what is correct and fits your driving style. Shorter tire sidewalls tend to be less predictable at the limit. A big gumball tire with a tall sidewall will deflect a lot and give up grip progressively. A short sidewall tends to grip a bit better... until it doesn't and you find yourself facing the wrong way.
My Impala SS came with 17s. They fit my driving style fine. I did 18s for a while and they made a more positive "connected" feel with the road. Someone traded me for some 20" wheels. They looked killer, but for my driving style they SUCKED. They really planted, but there were times on a freeway on-ramp that I pooed my pants a little because they decided to let go rather unpredictably.
This also plays into static camber, camber curves, and body roll. As a generalization, smaller wheels/more sidewall might be suited to more camber. As you push the tire in a corner, it deflects like a pencil eraser... more deflection for more sidewall height.
So it all plays together. You'll find a lot of info out there. Many performance-oriented people within a group of Celica owners may have already come to the consensus that [insert range of wheel sizes] is the sweet spot for Celicas.
If you're just looking to have killer looks, slap some 19s on it and lean the seat back.