Need advice on how to move this head about 4ft to the right or other side

If to the right like you're looking at it should be simply cut the t-joint out and run a new T the other direction with the length you need.

Well I would not cut the tee
i would cut the 1/2 pipe and 90 it towards the direction toy want to go,
Than dig the ditch and add in the 1/2 pipe
you could re attatch the head with a 1/2 collar.
Just sayin

Is the picture oriented correctly when you say you want to move it to the right? IE to the right would mean the T is exactly opposite as shown in the pic?

I think I get what both greenen and Bruce are saying, but it all depends on the orientation of the pic.

Tee joint has already been cut out once,
they used a riser for the 1/2 pipe, dont open worms unless you need them

This, he knows a thing or two about irrigation.

So would you 90 up and back over, under or around that existing tee?