Edited because I was an asshole. My apologies.
First of all, it'll be tough to boost your car on a budget since there's a lot that goes into maintaining and making sure your engine runs smoothly and safely. Things like oil, clutch, brake pads, rotors, and tires will have to be replaced more often.
To test compression you can go to a local shop and have them do a compression check for you.
14+ psi is a lot of boost, especially if it's a daily driven car. Our atmosphere is approximately 14psi. Running boost like that is like shoving in twice as much air into the same space and combusting it.
Go ask people who have turbos on their car, ask them how much boost they're running, and ask how much maintenance it is. Their experience with boosting will come in handy now and when you have a sudden question and you need an answer quick.
Also with the supercharger, you won't have as big of gains but you won't have turbo lag. Depends on how much power you want and whether you want it on demand or with a little delay. The supercharger does whine. Know the sound your car makes when you go really fast in reverse? That's similar to what a supercharger will sound like. Some people hate it, personally I like it.