can you switch sim cards in motorola cell phones?

I have a mototola cell phone and would like a get a little bit larger one can I switch sim cards if the new phone is unlocked.

HI yes if the new phone is unlocked one then sure you can freely use it with your old sim card ..Else if the phone is locked then unlock it using sites like Onlinegsmunlock.com here they are rendering unlock code for all mobile models at reliable cost ..After unlocking your phone you can freely use it with any GSM sim...