Hey Margarita! 

OK of course I would recommend Happy As Is Hosting! 
http://www.happyasishosting.com 

The shared hosting will be just a little faster then standard GoDaddy, 1and1, Host Gator... None of the shared hosting will have top speeds. My http://beast-usa.com site is on the Ultimate Shared hosting plan.
http://sanomedicalcenter.com is also hosted under the same package.
Ultimate
From $16.99 /month
Unlimited Websites
Unlimited Space (Hard Drive Space)
Unlimited Bandwidth
1000 Email Accounts (per domain)
Unlimited MySQL Databases (1 GB ea.)
2X Processing Power & Memory (available for Linux/cPanel only)
FREE †† Premium DNS, SSL Certificate with Fixed IP address
I have about 20 websites under that package some like the beast-usa site (NON-DATABASE) and some Wordpress (DATABASE)

If it going to be a semi-heavy traffic site like Happy As Is "20,123 visitors yesterday" then you need a VPS at least. (Virtual Private Hosting) or a Dedicated Server. Happy is on a VPS but you need to know what type of site or sites first. 


But what there a tons of different types of hosting. So it depends on what type of website you want?
1.) Will have members / member login?
2.) Will be database driven?
3.) Will it be selling anything?
4.) Will it just a text/information website?
5.) How much storage will it need? (Pictures, videos...)
6.) What software will you be using to build it?
7.) How much traffic do you think it will have?
8.) How much bandwidth will it need?

Different websites need different types of hosting. If you're going to be doing more than one site make sure to choose a package that can do two or more. Some have unlimited websites & domains.

There are lots of horrible hosting companies out there that ding you for everything! They say $4.99 per month! Then oh you want a .com that's $29, oh want file storage that's another $8.99 per month and so on. So you really need to read the fine print!

Reply back with what you need and I will help you decide what to get started with.