The "bottom C" as Peter put it is the C on the ledger line between the bass and treble clefs as is played on Bb trumpet with no valves depressed. The fingering chart for a Bb trumpet can be found by internet search engine. I like the Conn Selmer one. Supposedly the range of a Bb trumpet begins on F# on the fourth line of the bass clef, but in the many years I've been playing it has been elusive to me and I've yet to see any Bb trumpet part as requires it.
With the tuba, we place the mouthpiece over the lips and blow. Proportion of upper to lower lip are not really a big issue early on. The trumpet mouthpiece being much smaller doesn't quite work this way. Sometimes with the trumpet we even have to roll our lips in a bit to get the correct vibrating surface.
Over the internet it is impossible to give you a recipe. A suggestion however seems to be in place: during spring break or summer vacation, devote 2 or 3 weeks (or more) to trumpet only. Then you have a chance to get preliminary habits built and your brain is no longer as confused about what to do with the trumpet.
Whenever I feel blue, I start breathing again.
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