Yes as Rugged said you have PEX water piping.
#1
If it were me I would change the plastic supply lines going to the faucets and dishwasher and isc maaker if you have that, and replace them with braided stainless steel. Be sure you don't kink them, get longer lines than needed and loop them.
#2
Unless you are ready to buy a $100.00 tool, fittings @ about $3.00 ea., a bag of crimp rings, maybe a length of PEX to do the work, a crimp ring spliter @$30.00, and practice so you know you have done it right so you don't flood your home, you may want to call a plumber. Be sure to ask if they work on PEX. Some don't.