Sunama, I can appreciate you're just starting out, my main question is whether a cheap website is going to be a benefit to you, or if you'd be better saving your money. We get contacted by customers sometimes who've had a site built on the cheap, it's out of date and they can't get it updated, it's nowhere in the search engines and they've barely had a single enquiry through it. It depends how you plan to use it though, as if you can put the URL on business cards, advertising etc. so people can find out more about your company, there could be benefits there. If you're doing something fairly unique, you might find it naturally finds a high position in Google and so on.
For what I would consider to be more contemporary websites, take a look at something like
www.cssmania.com (if you search css galleries in Google, you'll see there hundreds more similar sites, though they often have the same sites on them - it's a useful way to get your Google page rank up
). It's not just in the design though, it's the way modern sites are built, the way they use javascript/css for dynamic effects instead of flash, real text rather than images with text on them, proper structure, use of header tags etc. This kind of thing stands out to me though, to the average customer it probably wouldn't and to be fair I have seen MUCH worse than those examples you linked!
If you are going to go ahead, I presume they'll ask for some text for each page from you. When you write it, make sure you include keywords within it (what you think people would be searching for if they were looking for someone who provided your service). Don't go overboard, but it's helpful if for SEO if keywords are the text. Also I would specify what you what you want the title for each page to be (the bit that appears at the top of the browser window) as this is one of the most basic search engine opimisation techniques. Keep it short and keyword heavy (if you look through this site, you'll see when you click a product, they always have that product name as the title and one of the main reasons for doing this will be to help Overclockers be found in Google by people who want to buy that item). Once your site is up and running, try and get as many links to it as possible, this will boost your page rank which is one of the factors Google uses to decide who comes highest in a search. If you download Google toolbar, there's an option to see the pagerank of any page you're on (don't get to obsessed with rank though, it's not everything!). Finally (moving away from search engines to humans!), try to keep your text clear and to the point. People don't often read really large amounts of text, but can also be reluctant to fill in a form or give you a call if they can't find out the info they're looking for (and might instead go to a competitors site). So you want to get all the information they're likely to need through to them as thoroughly as possible, but using as little text as possible! If there are a number of elements to your site, it's often good to have a few introductory paragraphs on your homepage that they can click on for more info.
Hope this helps!
