Wand?

Soon after leaving the bank dumbledore quickly excused himself saying that something urgent had come up.

It now became apparent why dumbledore said he would like to buy him his school supplies rather him going to the bank first.

It seemed his parents had fought against the renowned dark lord grindlewald surely due to some umderhanded manipulation as they had no reason to personally interfere in the war.

Wealth indeed was important no matter how powerful you are it just becomes easier to acquire.

Finances No doubt played a big crucial role during the war.

It seemed as dumbledore wanted his image as a grandfatherly figure be set in the minds of young hiers.

His theory was not unfounded as dumbledore had proven this in his life many times that first impression had a long lasting effect on youth.

Recruiting individuals to fight a famed dark lord that had a army of supporters both in the muggle world and the magical was no easy task you'd have to be some master manipulated to construct such a well thought out plan.

Nonetheless, he would not be easily fooled but he would also not be actively against dumbledore.

Considering he did not know the full scale of his powers nor the accurate power scaling method in this world.

Someone of such power and fame could easily dismiss his allegations in the public and may even turn the crowd on his favor easily. So unless he was in a position of power that could rival dumbledore he would stay quite.

He also found that wizards used wand or staves to invoke magic but all he saw it as was a crutch which held even the albus dumbledore back.

An probably the whole wizarding community however, it was too soon to judge.

So to not raise any red flags by demonstrating such never seen before abilities he needed some precautions.

Considering the fact that he had to mold his image as the perfect boy and now as a perfect pureblood

Heir that in itself induced a headache.

He pushed his power into his hand and constructed a dummy wand that was basically wood which has no use at all besides poking.

He would need to pretend like he was casting spells murmuring chants and motioning his wand

It was very stupid to use chant not only was it a waste of time but it only served its purpose to focus on the spell which was quite easy for him.

So he resolved to do all his magic wandless. However, until he made his image as solid as can be his capabilities need to be hidden.