If timed well, you can runjump into the shadows next to the bomb. You'll have to just practice deactivating it and getting back though.
As for the second screen with the slogs, it's quite easy. You see, they start attacking a set time after you enter the screen - no matter where you are on it. So, instead of running into the middle, slowly walk onto the screen, and as soon as you're on it, freeze! (So you're right at the edge). The slogs coming from the left have the whole screen to run to get to you, and those from the right have to turn around first. This makes it much easier - especially since you don't have to turn around.
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