The ammonia strips are junk - I used them when I first started, and never got a reading other than .25 from them. The others are usually good for a 0/not 0 reading, but don't count on an accurate value.
They get more expensive, though. A full set of strips to cover what you need runs $25 in my area, and gives you 25 rounds of tests. For an extra $5, you can get a hundred rounds of test easily. I'd suggest latex gloves, too. If you have a latex allergy, go to a medical supply store and ask for an alternative.
As far as I know, the worst stuff in the bottles are irritating and caustic, and can be dealt with just by washing your hands afterwards. It pays to be cautious in your situation, though. Can anybody else in the house handle the testing? Even if they don't bother with the fish otherwise, under supervision, anybody with basic counting skills can learn to use the test kit.