Army tend to be soldiers first Engineers second
Navy mainly rotary at the moment, you go to sea and hence need to do all the survival stuff as well. But they will be getting more fixed wing and new carriers, as will the RAF who will no doubt end up operating off them at times. No doubt the new carriers will do some exotic locations when they embark, but it's a long time off before they get fighter assets.
RAF tend to be Engineers first, RAF squaddies second.
Unless it's changed, that is.
I would think Army training oriented towards rotary wing, navy Rotary and a bit of fixed.
RAF all types.
But that's conjecture as waaaay out of the loop.
What ever path you choose, you will enjoy your service if you are successful. I am slightly biased btw towards the RAF for obvious reasons.