Mike,
I think your question used to have a simple answer --- back when satellite TV was invented.
DirecTV in Standard Definition (SD) uses a single satellite for all channels including locals in about 20 major cities. In secondary markets, where locals are provided, DirecTV uses multiple satellites. For High Definition (HD), DirecTV always uses multiple satellites.
As I understand it, Dish uses multiple satellites for all but the basic channels.
So the simplest set up is SD on DirecTV because you only have to point to a single spot in the sky. Lots of antenna makers provide everything from the most basic to the most automatic that will do this.
The primary reason for a dome antenna is to allow the parts under it to work while you are driving, or so called "in motion". Most that make those also provide lower cost "stationery" models. The dome creates its own problems by collecting rain, dew, bugs and dirt. So, don't get a dome style unless you plan on using it in motion. Manual or automatic, the open style antenna works better -- especially in the northern third of the USA and part way into Canada.
With HD on DirecTV you have to aim at several satellites -- especially if you want local channels. That makes manual set up aiming difficult and the automatic antenna choices are fewer. I don't think you can get domed, in-motion yet for HD.
Rodger and Deb's comment that you "can get locals by changing our address on the internet no matter where we are" is not the same as my experience. I set my system up when you could have DirecTV in your stick house and add a receiver to your RV for an additional $5 per month. Doing that was promoted as a good thing to do. Advertisers, local stations and sports franchises have convinced the FCC to change their regulations so that 40 million DirecTV and Dish customers watch what they are supposed to. It seems that too many would change their address so that they could watch games not broadcast to their "Home". Now, I am an "outlaw" with DirecTV because I have not created a separate account for the RV. I am now in violation of the FCC and DirecTV's terms of service -- just like the majority of RV owners I know. What it means, is that when I phoned for an address change the last time I ended up being "advised" how I was out of compliance and they did not change my address. I had to do without national networks on my DirecTV. I had to use the RV park's local cable.
DirecTV's current concept (to comply with the FCC) is to have you create a dedicated "RV" or mobile account. That will qualify you to "apply" for "Distant Network Service" (DNS) that allows may allow you to watch ABC, NBC, CBS, PBS, etc from either New York or Los Angeles stations -- but not both like it used to be. And, it costs extra.
Perhaps Rodger and Deb have a designated "RV mobile" account and are allowed to change their address as they travel. I have a standard account and am not allowed to change my address for travel.
If I were to set it up again, under current FCC options and I was a full timer, I would use DirecTV in HD with a DVR and a Motosat automatic open style antenna. I would apply for the DNS and make sure my onboard regular, old fashioned (but now digital) antenna would pick up local channels. With the right DVR receiver, including an "Over The Air" (OTA) tuner, I could record everything, including the local news, and watch when I want. With the DVR, HD, DNS fees and a moderate programming package my bill would be about $80 a month.
Since I am not full timing, I would take advantage of Dish's 30 days at a time program and use cable in the condo. In my area, Camping World might be my best choice to start with Dish.
As it is now, I enjoy being an outlaw with DirecTV HD quality in the condo and SD simplicity in the motorhome. If they make me come into compliance I will drop the account and entertain myself over the internet.
Do you remember when your Dad brought home the first TV and everything your watched was free? Do you remember rabbit ears?