You will be arrested and indicted on the charges that have been brought against you. If you leave the state you can still be found through national trcking systems.
The effect of a felony warrant depends on the extradition status of the warrant. If the warrant is extraditable, you can be picked up in whatever state you're in.
You cannot just move to another state to escape the warrant. There is a national database that officers from any state can look at to see if you have warrants.