I have a question about basement ceiling pipes, I would like to try to do this myself. If anyone thinks I shouldn't as an amateur please let me know!

In the basement ceiling now I have cold and hot supply line and one hot supply for baseboard heat. There is also a gas line for the dryer which I would like to re-route because I am moving the laundry room.

My question is, should I drill through the joists to run the lines or should I run them around the perimeter because I am going to be building walls a few in ches from the foundation and there will be space there.

I will have a professional move the hot water pipe for the heat as I know there is a delicate balance there but I would like to tackle the moving of the pipes.

I also have 2 shut off valves...1 is for a toe kick heater in the kitchen and the other is a supply line for an ice maker. There are pretty low in the ceiling, should I move them or would it be better to box them in with a door to access after remodel.

If all of these questions can't be answered without seeing the area then I apologize and maybe I should attach some pics.