Your home page is the most important page on your website. The information that appears on your home page significantly affects the placement of your website in search engine results pages. If you only have time to work on one page in your website, your home page should be the one.
These days, splash pages are a bad idea
Back in the early days of the internet, it was very common for restaurant websites to have a "splash page", which was usually a landing page with just their logo on it and the words "click here to enter site" beneath it. Just think--these webpages were only optimized for the restaurant's name and the words "click here to enter site"!
A good format for your home page to follow would be:
1. A paragraph that introduces your restaurant, mentions where it is located, and what food your restaurant serves. Also, maybe a mention of which dishes your regulars love.
2. One to three paragraphs detailing when and where the restaurant was founded, and by whom. If you have a lot more to say, write a longer form version on a separate page. If you do this, be sure to reword it, as Google does penalize you for having duplicate content on your website.
3. A brief thank you to customers for checking out the website, and a suggestion to come in for a meal.
While you are writing these paragraphs, be sure to word relevant keywords in the same order and pluralization as you chose earlier. Don't force it; if the keywords don't work, don't use them, or break from the standard wording you chose. Remember, customers will be reading this.
It is also important that you use the name of your restaurant a few times in these paragraphs. While it would be great to place well for the keywords you chose, it would be disastrous not place well for your restaurant's name. Two to three times on the home page should be plenty.