Bach 1 1/4C Man

I will be leaving the country going to play with my youth orchestra and will need to take both my C and B flat trumpets and several mutes. Will I be allowed to carry on my Conn Vintage One Double Case are do I need something different?

Also please give me some suggestion keep in mind I need to take two horns and mutes.

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Orchestra:
Bb: Bach Stradivarius 43* (Gold PLated)
C: Bach Stradivarius 229S (H pipe)
Pic: Yamaha 9830 Custom
Bach Megatone 1-1/4C
Jazz:
Bb: Conn Vintage One (1BR)
Flugel: Kanstul 1525 (Signature)
Bach Megatone 1-1/4C
Warbuton FL 1