Start up a new Story game on 'Beginner' difficulty and you will begin on Planet Technopolis. You will need to put down bombs next to blocks and sometimes they will spawn random pick-ups after they are destroyed.
You will need to collect 7 of each pick-up (Bomb, Flame Face & Rollerblade icons) to unlock these 3 achievements. You can die in between collecting these pick-ups without it resetting as long as you don't lose all your lives. Just make sure you don't pick-up any icons with blue arrows pointing down as they will lower your power level.
You should unlock all 3 achievements by the end of World 1-6.