Alternatively, instead of bombs you can probably use the Megaton Hammer recoil to initiate a super slide.
There is also an easier way to enter the shop but require hover boots using a megasidehop
In Darunia's room, there are two lit torches, and two pots which drop Deku Sticks. Use the flame to light the torches in the bottom floor and up to the Lost Woods entrance. Touch the flame to one of the bombs to light it.
There are 2 ways to enter Darunia's room without talking to the goron
Line up roughly as shown and megasidehop left. This clip is very lenient, so the setup shown in the video is for safety only. If Link is facing pretty far left, then you may need to hold right after beginning the megasidehop to direct Link into the hallway after the clip and avoid voiding out.
This method is hard and shouldn't be used.
A fairly easy way to clip inside of Darunia's Room is a ground clip, the angle is pretty lenient.
The fastest way to enter DMC is to clip past the statue with bomb damage.This video shows many ways to line up the lenient angle needed for clipping, including:
This is about the same speed as grab canceling the statue, so it's useful when Link has no strength upgrade and either using a bomb or taking damage is undesirable.
Sword setup:
Swordless setup:
After either setup, both press hookshot and release target midair to get hookshot extension into the statue. Aim downwards a bit to hookshot the hookshottable collision behind it and make it through. The frame window for inputting hookshot midair depends on what's in Link's hand: