I am moving in the next moth and iwas wondering if i could keep my ip from changing?

Depends on your ISP, so you'll have to ask them. Most (in the US anyway) use dynamic addressing, though, and have static addresses available only for higher-priced tiers (usually for businesses and other organizations running servers). Check out dyndns.org if you want a hostname that can be updated dynamically as your IP changes. It's free!