It would be more economical to buy a test kit that contains a set of tests Usually pH, ammonia, nitrite and nitrate are included.
I use a test by Tetra, it takes AGES to see the results of it but... it's worked so far

I've heard other people on the forum recommending API test kits...??

Hi Oranda Lover,
here is a link about API Master Test Kit for Freshwater.
I believe most of us on here use this one, it is very economical containing the tests for Ammonia, Nitrite, Nitrate and pH.
It is very accurate too, much better than paper strips anyway.

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Hopefully she would be able to tell the difference between a fin nip and fin rot, I doubt this is a situation of that. I believe your tank is probably going through a mini cycle due to the move which probably disturbed and killed off some good bacteria.

Most liquid tests found in good pet shops should be good, I also use API and everyone I know uses it and it's great. For now, like goldiegirl said you can get it tested by the pet shop because it is definitely a problem if you are seeing ammonia and you need to great rid of it asap. It may also involve some treatment but sort out your water first

Tears from physical damage (ie. nipping, getting stuck in decor/filtration) are usually really clean to the shape and most of the time not many. They look just like a cut in the fins with clean edges. It happened sometime before to my little moor that he had a long tear in his tail, but it went away already after two days all on its own.
Fin rot and infections followed by water quality issues or physical trauma on the fish, will have a ragged appearance and sometimes show some white edges.

Black scars are a sure sign of an ammonia problem. But it's also a sign of healing. Andrea is probably right...it was most likely a mini glitch cycle. That happened to me once when I cleaned the filter media in tap water instead of old tank water once 

Tell me how the API test kit works out for ya! I'm thinking of getting one myself soon, since I'm getting tired of wasting gas money to go to the pet shop for my water testing every week 

Well you will want to do something about this ammonia very soon, it sounds like it has already been a couple of days and that's not good. You should be doing a big water change depending on the results and may have to do a few more in the days after. Don't feed them too much for now, maybe not at all and watch them closely

The quicker you act the better and easier to treat.

Alright, thanks guys!  They don't really look like small wounds, but whatever it is - ammonia or not - I did a big water change yesterday so I hope that helps!

Also - what tests does the API kit come with? I know it has Ammonia and Nitrate or Nitrite, but what else?

Oh woopsy, I think I missed the link. I took a look at it just now though, sorry for the trouble 
I'm getting it tomorrow - by early January I meant tomorrow, sorry for the confusion 

okey dokey, thanks, Hanna! 

And what you said in the other topic, I see what you mean about how important the other tests are and not the chorine. Thanks! 

yup - I posted this in the other topic, but might as well post it here: I couldn't find the test kit at PetCo, but the one I went to is not the usual one I visit In a few days, I'll be going to a different (the usual) PetCo to get the test kit. But in the meanwhile, I will be changing the water every other day, including today.