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Hi I'm a noob and I am a commuter. I have a 7 mile x2 ride about 3 times a week. It's a pretty mixed ride going from long island city NY to the World Trade Center in Manhattan. I usually only have about less than 30 minutes to do it in or I miss my train.

so that's me in a nutshell, now on to my question.

I have this bike


it's a felt with shimano wheels. The frame is light weight aluminum double butted with carbon fiber back side and a carbon fiber fork. The problem I have is the wheels get untrue very easily. I had them trued not to long ago and it keeps happening where I am forced to go without riding for a while until I find time to take it into the bike shop. Are these wheels crap? If they are my budget is about $300 what do you think I can get that is around that price or if these are good wheels should I just learn to true the wheels myself and just suck it up? Is truing hard?

I found this bike for sale $400



it's a Trek 5200 OCLV with Shimano Ultegra Bontrager components

Is the trek better than my felt? Should I skip the wheel upgrade and just get this bike? The wheel set I am looking at is the Vuelta Corsa Lite Road Wheelset for $250 brand new. From what I gather this is a good deal. I'm not against getting used wheels but I need to establish the worth of the wheels I have now. Is it standard that the wheels become untrue over time? If so who much time should one expect the wheels to remain true.

Ok I've taken enough of your time any help would be greatly appreciated.