Optionally there are other ways to apply for a vanity call. You could use one of the licensing services like W5YI, ARRL etc. for a fee though I would not recommend that.
Obtain a copy of the FCC 605 form from any VEC or even grab it online, fill it in and snail mail it. There no longer is a fee to obtain a vanity call.
Word of note: Might want to verify the call you are looking to grab is available. Check QRZ.com first (although not always 100% accurate as they can be a few days behind the updating from the FCC) to see if it is available. 1x2 and 2x1 calls are near impossible to get due to the long waiting list (only available to Extra Class license holders). 1x1 calls are strictly for Special Event stations with short term authorization.
I would strongly recommend you have at least 2-3 vanity calls you would consider in case the most preferred one is not available and place them on the 605 form in the order of preference. If you only place one call request on the form and it is not available or gets assigned prior to your application, then no new call will be issued.