You can only guess at the likelyhood of either your present or the future company getting into bother. If a company is actively recruiting you could take some assurance that they have a fairly sunny disposition at the moment. Are your current employers doing the same?
If you look at things more pessimistically when it comes to the crunch it can be a bit last-in-first-out when choosing who to give the boot too. And a redundancy packages reflect the time served.
Traveling with work can get you down, but I’d make any decisions while you’re not travelling. I used to spend a fair bit of time away from home when I first set up in business, it could get me into quite a glum state, but doing it was what made all the rest of my work viable.