I have a question about replacing wheels.

My front wheel has spokes that come loose once in a while, and it seems like they vibrate loose. Re-tensioning them works for a while, but they will come loose again. The rear wheel does this too, but not as often, but I recently had a spoke break on them.

Is it better just to replace both wheels? Replace only the front? I'd like to keep it under $275.

If i'm going to spend money on the wheels on my bike now, id probably spend less than $15, because any more and its just taking out of the new wheel fund.

If I do get new wheels, any reccomondations? Price is kind of an issue, but taking public transportation daily would cost more than the parts anyways.

waiting on my tax return to buy these: H+Son Archetype/Formula track wheelset | Retrogression

Spokes getting loose is usually an indication of insufficient tensioning of all the spokes in the wheel. Did you tighten the spokes yourself of have a bike shop do it ? Also, has your wheel been damaged in an accident or by hitting a bad pothole. If you need to replaced your wheels, you can by a good serviceable set for well under $200 such as these >>> Alex AT400/Novatec track wheelset | Retrogression

I did it myself, I can get a wobbly wheel straight, but as far as putting a proper true on them i have no idea how to do it. Do you think this would solve the problem?

Most likely too late if you have started to break spokes. You will learn a lot if you choose to build a wheel yourself in the future.