If you like your regs, I would take them instead of renting them. You could carry them on for free. Rental BCs should be fine, but may not fit as perfectly as your own gear.
I'll agree with this poster. Whenever I travel at a bare minimum I take my own reg / computer. Especially when diving in a foreign country, my little pea brain may have some trouble converting to meters/bar if forced to do so (likely they would have some gauges in english units but why take the chance).
Of course the other reason I take my own regs is that I have seen divers more than once puke through their rental gear... no thank you!