To be honest braces are your best bet, I had braces years ago and I had teribble teeth, yanno rabbit teeth, gaps and all sorts and I have a 'small mouth', I needed to where them for 2 years if you have only gap then it shouldnt take too long. Ask for non nickel braces or something you will see quicker results.
Do not get your 2 teeth taken out, it is likely that it will flatten your face and make things slightly awkward, unless you have 65 teeth or something. I for example was meant to have four teeth taken out but I refused because my cheeks would have gone in!
Seek other alternatives...