Speed and reliability
This is the most important thing you should consider. Not only should the web hosting be reliable and fast, it should guarantee its uptime. The host should provide some sort of refund (e.g. prorated refund or discount) if it falls below that figure. Note though that guarantees are often hard to enforce from your end - the host usually requires all sorts of documentation. However, without that guarantee, the web host will have little incentive to ensure that its servers are running all the time.

Bandwidth (data transfer)
Bandwidth is the amount of bytes transferred from your site to visitors when they browse your site. Always look for details on how much traffic the package allows.

Disk space
Most sites need less than 10 MB of web space, so even if you are provided with a host that tempts you with 200 MB or 500 MB (or “unlimited space”), be aware that you are unlikely to use that space, so don’t let the 500 MB space be too big a factor in your consideration when comparing with other web hosts.

Technical support
The good technical support should be function 24 hours a day, 7 days a week (24/7). You will be surprised at how often things go wrong at the most inconvenient of times. Incidentally, just because a host advertises that it has 24/7 support does not necessarily mean that it really has that kind of support. Test them out by emailing at midnight and on Saturday nights, Sunday mornings, etc. Check out how long they take to respond. Besides speed of responses, see if they are technically competent. You wouldn’t want to sign up for a host that is run by a bunch of salesmen who only know how to sell and not fix problems.

Other services that are important to consider:

FTP, PHP, Perl CGI-BIN access, SSI, .htaccess, telnet, SSH, crontabs
SSL (secure server), MySQL, Shopping Cart
Email, Autoresponders, POP3, Mail Forwarding
Control Panel
Multiple Domain Hosting and Subdomains
Price
Other Features

I hope this information helps you to find the best web hosting for you and all Anne Ahira mania.