Ahh, the good old strip tests, lol those things are horrible and can't be relied on.
Anyhow, I think most of the people here would agree that Aquarium Pharmaceuticals gives you the best value kits for your money and they're very common, should be no problem to find. Alternatively Hagen kits are decent value and common, they just tend not to give as many tests as the AP ones.
Make sure you have your pH/Ammonia/Nitrite/Nitrate all as liquid kits first before worrying about a phosphate kit as they're the essentials. If your tests are all on strips and you need to replace multiple kits and aren't on a tight budget, you may wish to look at Hagen's "Master Test Kit", very good value and almost every test you could ever want in it.
http://www.hagen.com/usa/aquatic/product.cfm?CAT=1&SUBCAT=124&PROD_ID=01078600020101
Good to hear about the baby cories, guess you'll need to find a way to filter the intake of your siphon hose, keep up the water changes for now as long as the replacement water is well dechlorinated and close to the temperature of your aquarium water there shouldn't be any problems. The combination of water changes and the plants will eventually starve the algae.
The other thing I was thinking of was supplementing the potassium levels to encourage your plants to scavenge more phosphate, but it's probably best to just add more plants, be carefull with feeding and keep up the water changes for now, it should stabilize.
For plants I think java moss would be worth a shot, it'll generally grow like crazy when nitrates are plentiful and wont be too bothered if the spectrum of your lighting is a little off, plus it's excellent shelter for fry.
