I agree with VAdoublegunner, this song has been sung many, many times. Long story short, I'm also in the Hornady corner.
Dillon's are nice machines, and so are Hornadys. Dillon service is very good, so is Hornady service. Feature for feature, Dillon is more expensive. I also agree that, compared to Dillon, the Hornady LnL is quicker, easier, and cheaper to change calibers and primers. There are other nuances I like better with the LnL, but I'm not looking to write a thesis here...
I don't think you can go wrong with a Dillon, or a Hornady. There are definitely more Dillon machines out there, so I would expect there will be more favorable responses regarding Dillon; there's more of them... I would suggest the OP have an open mind, do some research, and really understand the features, benefits, and loaded costs before making the plunge. I am very happy with the value, speed, and quality results I get with my LnL.
Everyone has their opinion, and experience, this is mine...