Can I have my two front teeth shortened and straightened, and if so, any idea how much this would cost? (Photo)

Yes, they can be fixed, also my recommendation would be to work on the gums so that way they would look even, and more natural, this can be done in one visit. Hope this helps.

My best suggestion for you is to seek the advice of a progressive orthodontist who has many tools in the tool box to straighten and align teeth.  It may not be a big job to align and even your gums and give you a broader smile to show your teeth more.  It may even help you if you have any sleep disorders.  Much success-Do your research and seek the option of a couple of orthodontists-

Your two front teeth appear large for a number of reasons. First you have a crowded & narrow arch form. Second it appears the crowding of the lower front teeth are affecting the position of the upper front teeth. Before filing and shortening your upper central incisors (two front teeth) which is irreversible, I would recommend you consider having Invisalign treatment which would enhance your whole smile while shortening (intruding) your teeth, improving your bite AND reducing the risk of periodontal (gum) problems that can develop from malocclusion. Finally, by aligning your teeth can actually improve your gum contours which also appear to be uneven on your two front teeth in the pictures you provided. This can make a tooth appear longer as well.