LOL -- InPedigree is a breeder web design company.
I've heard of them, I know a couple of breeders that have used them and like them. Personally, I need more control than that, I still hand-code almost everything on the sites I design/maintain!

For someone who's not a control freak it would probably work well. Pricing is not horrid, about $180 per year, but if you aren't doing a lot of updating it's kind of pricey after the first year IMO. You can get good hosting for $5/month nowadays, and if you set up your website on a blog platform (which is basically what this is) content management isn't too painful. Most hosting packages come with built-in blogs.
If you're just interested in building pedigrees, SitStay.com has a free pedigree builder. (I have one on my website, but I can't figure out how to get the HTML to render when you view the source, so it's not especially helpful!

) If you're mostly wanting to print pedigrees, I'd suggest software for that. I've used The Breeder's Standard for years and am very happy with it, it's a full kennel management program at a moderate price, I think around $80. Some people use BreedMate and swear by it, but last I checked it was around $200 or $250. (I'm fairly cheap, if you can't tell!

)
Do a web search for "This site powered by inPedigree" to pull up some sample sites. That will tell you whether you like the "look" and variations thereof that the program provides.