to catch fire: to begin to burn
to blow up: to inflate, to fill with air(S); to explode, to destroy (or be destroyed) by explosion (S)
out of date: not modern; not current, not timely; no longer available in published form
Again, hyphens separate the parts of this idiom when it precedes a noun form as, in the second example. The passive verb to be outdated derives from this idiom.
to get carried away: to act in an extreme manner
A related idiom is to go overboard
to keep track of: to keep or maintain a record of; to remember the location or status of
from now on: from this time into the future
to get through: to finish, to complete
This idiom is followed either by the -ing form of a verb(a gerund) or by the preposition with.