Fixer does not keep forever. It keeps better than most developers, but you still need to be somewhat careful.
For example, partially filled concentrate bottles can go bad as quickly as just one year, so if yours was from 2008, you have been lucky, or you have squeezed all air out. You will see it going bad when white gunk (sulphur) starts to appear.
Used fixer with dissolved silver in it won't keep well no matter what you do. You should replace it every few months. It may be OK for 6 months but not much more. Usually, something like 2-3 months is recommended. Soon, black gunk (silver) starts appearing. It starts depositing on the bottle walls and is hard to remove -- you can use Farmer's reducer (or a color bleach, then fixer), or a reversal B/W bleach to clean it.
I have heard that using an overused fixer even as a first bath can cause formation of harder-to-dissolve silver-thiosulphate complexes to the emulsion, making it difficult for the second fixer bath and wash. I'm not sure about this, but if this is true, then it would mean that even in 2-bath fix process, you need to have two (somewhat) GOOD fixers. It will still save some fixer. Anyway, if the first bath is dead, you will anyway depend solely on the latter one, nullifying the benefit of 2-bath.
Filtration can fix the symptoms, but it does not help if the fixer has gone bad or lost its power. So, it's better to buy new fixer when silver appears. Fixer is not that expensive...