Hello 1st post need help
First, as you probably know, you need to contact your local Building Inspection Department for all local codes, inspection and permit requirements.
Plumbing is far more than the supply lines, of course. There is the drain/waste/vent system to consider. Supply lines can just leak, but the dwv system has to be done right or it won't function properly (backups, sewer gas, etc., etc.).
Your present supply system may have some PVC in it from the pump to the house, but PVC is for cold water supply or drains only, and would not have been used for all of the supply lines.
If you aren't an experienced plumber, I recommend that you use CPVC for the hot and cold supply lines, if allowed by your local code. CPVC is very easy to work with (just cut and glue). You can use PVC for the dwv lines, and I recommend that you use it.
Please let us know more detail about your kitchen (disposal? dishwasher? refrigerator ice maker?...all need plumbing, too.)