Welcome to the forums and congratulations on your new budgie!
For your Michka's overall welfare, it's best that he is kept in a more controlled, stable and safe environment. Taking him to classes will place unnecessary stress not only to him, but also to you, because you will be worried about Michka and you will be distracted in class (same goes for some of your classmates) as you will be unable to be fully focused on the subjects discussed in class.
Also some teachers may not be okay with having a pet bird in the classroom. You also have to take into account all the factors that come into play during the commute with the cage and the higher chances for an accident to happen, especially when curious and more oblivious people come into contact with Michka.
The safest place for your Michka to be in is your house and preferably on a bird proofed room where the chances of your budgie getting into trouble are minimal. If you have a balcony area or a little backyard, you can place your Michka's cage outside (making sure all doors are securely closed and locked before doing so) on a good, warm day for him to get some sun. Make sure to be nearby to supervise when Michka is spending time outdoors.
When going out, you can leave the radio on for Michka, that will provide him some company and when you get back home, you can make up for time lost by spending good quality time with Michka.
For the first couple of weeks it's important to let a new budgie settle on their new environment and again you can help him out by having the background noise from the TV or radio to make him feel more comfortable and at ease.
Covering the cage on 3 sides will also help your budgie to settle in.
During the settling in period, you can sit close to the cage and talk to Michka in a calm, reassuring, encouraging and positive way.
This is the very first step to take in terms of establishing the foundations of trust, by getting your budgie used to your presence and voice and to give him the required time to realize that you are not a threat.
You should only take the next step in training when your Michka is more curious and receptive towards you. And for this it's important to know how to read and interpret a pet bird's body language and act according to the signals given by the pet bird. Once he moves closer to you while in the cage and actually seems responsive to you and your voice, that's when you can slowly place your hand inside the cage offer your budgie a tasty treat and encourage your budgie to step up to your finger/hand.
You will find all the detailed information and tips on how to tame and form a long lasting bond with your budgie by reading the sticky threads located at this section of Talk Budgies.
Good luck with Michka!