I have tried 3 registrars so far and all 3 are fast and good as far as the domain registration / propagation is concerned!
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You have Tutorials on enom.com to setup API but I'll recomend not to go for API if you dont get more than 20 - 30 domain name registration orders a day. Fraud orders this days are making it difficult to use such service and a single fraud order for domain name registration for 10 years will make you loose big amount.
If you are getting many orders a day and you need to setup API on your site then you can contact any of the support companies listed in this forum to install it for you.
Well.. We want to beable to offer the domains on our website.. so that you can order and it is set up in real time.. Unless theres some sort of script that you would use for that?? Thats why i wanted to know about a API (We use Modernbill and WHM Autopilot)