My 2001 GMC Jimmy 2dr Daytime running lights go out when I use my signal and make a turn then they come back on at end of turn when signal goes out. Anyone know if this is normal or if there is a problem and what it might be

You have a short somewhere. If you don't have expertise in chasing electrical problems, it's time to take it to a pro. You didn't happen to install a higher amp fuse did you? If you, buy a fire extinguisher. The Automedia Answer Guy