when i turn on my cold water faucet in the kitchen sink - 9 out of ten times it's fine but on the other occasions water barely dribbles out - i turn it off and then back on and it works fine - i have already replaced the entire faucet - any ideas? thanks

I have my first home being built. In order to save money I am finishing the basement on my own. That includes a third bathroom. The toilet and drains have been roughed in and stubbed out the concrete floor. I have already run electric, phone and t.v lines all throughout the basement and I am ready to start drywalling. First, I have to get my waterlines where I want them. I need to run a hot and cold waterline to my sink with a drain, a hot and cold waterline to my bathtub (with a drain)which is directly across the room from my sink, and a water supply to my toilet which is located to the left of my sink. I have a bathtub positioned directly above the ceiling of this bathroom (upstairs), so I have acess to it's hot and cold waterlines, but I have know idea how to tie into them and then run enough lines to cover the tub, sink, and toilet. Can somebody please walk me through step by step on what I should do? I am pretty handy and have been able to wire, frame and finish everything in my basement thus far. I think I will be able to tackle this project too once someone gives me a blueprint. I really appreciate your help and look forward to your reply. Thanks in advance.