Suggested Steps
Step 1
Hostgator Home Page
Click

Step 2
Use any "Order Now" button in the column headed by the plan you select. The prices quoted are for longer term sign-ups. We usually find the "Baby" plan is the best fit, but if you only want to host one site then the "Hatchling" will do the job. Multiple sites on one account require a "Baby" minimum. You can always upgrade later if your needs change.
Step 3
If you are transfering from another host, you will have an existing domain (URL, site address). If you don't have a domain you can use the facility above or take advantage of the low prices at www.GoDaddy.com
Step 4
This shows your order so far and allows you to check details. Ignore the option about nameservers.
Free First Month - Hostgator gives a free first month with coupons
just use "freemonth" (without the quotes) in the field above.
Should be plain sailing from there.