The next thing that you should consider is to choose your web address. Weebly lets you use address in a form "yourAddress.weebly.com". If you don't like it and you want to have some cool address, you can always register some domain. I finally decided to register www.nikolatodorovic.com because I don't want some wacko use that cool name for website instead of me... You have plenty of sites where you can register your domain, maybe the best known is goDaddy, but I decided to register it on nameCheap.com. It cost around $10/year and domain name was available to use after only few minutes. Some domestic sites for registration say that you need to wait for 24/48 h which is really stupid... Another cool thing about this nameCheap site is that when you spend some amount of money on their site (maybe about 50$) you can use 'coupon code' which allows you to have a discount when you purchase some service. So, with that coupon you can buy a domain name for about $4/year.
The last thing before publishing a site is to connect your domain to website created with Weebly. That procedure requires only few minutes since you have to enter IP addresses which Weebly provides to you to specific fields on your domain registrar's control panel. All the instructions you need is on Weebly's website so if you ever wanted to create your own personal website, this is your chance.