right now the best thing you can do is a
water change. do you have a conditioner to remove the ammonia/
chlorine/
chloramine/heavy metals from your tap water? if not, i would pick up some Prime made by seachem.
I'd recommend getting a
test kit to help you monitor your ammonia, nitrite, and nitrate levels. the
API freshwater master test kit is the one pretty much everyone here will recommend for you. it's more expensive than the strips but will last much longer and is much more accurate.
Here are some links that explain the
nitrogen cycle, which is what all tanks will go through
http://www.fishlore.com/Articles/TheNitrogenCycle.htm http://www.fishlore.com/NitrogenCycle.htm
also, i'd definitely suggest looking into a bigger tank for your betta. they sell 5 gallon kits at walmart or petsmart which are pretty cheap (around $35) and come with everything you need except for a heater and gravel/decorations. bettas are tropical fish and the heater will help keep the temperature at around 78F which is best for them.
for a heater, i'd go with the hydor theo rated for 25 watts
http://www.petmountain.com/product/a...le-heater.html
oh, personally i would stay away from the eclipse 5 gallon kits made by marineland, the filter is made to be housed in the hood, and if it ever breaks you have to replace the whole hood which costs more than the kit itself. don't worry if this doesn't make too much sense, basically it's the same as a TV/DVD/VCR combo, if the DVD player breaks you need to replace the whole thing kind of a deal.
i know this is a lot of info to take in at once, but please dont hesitate to ask questions.