Just to clarify, you are only delivering food, right? Or do you prepare it also?

I think you are on the right track if you are just a delivery company....you already said it:

Cater to You
~you order, we deliver~

or
Delicious by Delivery
~we can really dish it out~


If you offer food prep and delivery, how about:

Home for You
~homestyle meals...home-delivered~