See if you can make the bike you have work for you by upgrading the tires. Also try your commute on the weekend to see how long it will take, gauge traffic or find alternative routes. Once you commute a few times with your current setup or with some minor upgrades you'l have a better idea of what type of bike to get or ask questions to better tailor our replies.

For example we don't know your current bike you or how much experience you have. We also don't know the terrain or typography of your commute. Do you want something that is quick and light or something this is bombproof with an upright riding style.