Hi Bob,
I use Ilford Rapid Fixer or Hypam normally and just leave bath one out, sometimes for 3-5 days, in a tray without a cover of any sort. That said, the second fix is always mixed fresh and prints to be toned are run through it right away, so any decrease in fixer activity of bath one from oxidation would be compensated for with bath two. Bath two then gets moved to the first fix position, where it stays out for a few days.
If you're using TF-5 and are worried about oxidation killing it, you could either bottle it (full bottle) or cover it with Saran Wrap. I've read that the Saran Wrap brand is different from most other plastic wraps and is less permeable to oxygen, making it a better choice for covering chemicals prone to oxidation than others.
When I have developer that has only had a few prints through it that I want to save for the next day, I'll bottle it if it's only one or two liters, since I can easily pour it into a bottle from the tray. If I'm printing larger, I'll use Saran Wrap, since pouring from a large tray into two or more bottles is just a PITA

I've also just floated another tray of the same size on top of the developer (nesting trays are nice for this) to cover it and reduce oxidation. Any of those methods would work for fixer too.
Best,
Doremus