I started with a F1 Shooting Chrony, then bought the Caldwell when it first came out, now I have use of a Labradar. (A friend has loaned it to me, I don't own one - yet).
If money is no object, then get the Labradar.
I've shot over 1000 shot strings over my Caldwell, and about the only problem I've had with it is when the sun is positioned so it can shine down into the sensors - a common problem with any optical chrono. I have found that I can usually tilt the unit left or right, or shade the chrono from the sun, and that fixes the problem. The Caldwell will operate standalone but will only give you the last shot velocity. The smartphone app that goes along with it is what gives the statistics, and I really love the app for being able to save the data and text/email the results.
The Shooting Chrony I have does not have the remote display. If you buy that brand, get the "Master" version that has the remote display. I bought the optional printer that goes with it, which essentially gives me the functionality of a remote display, but the printer is rather cumbersome to use.
I like the fact that the Labradar operates from the shooting bench and does not have to be downrange. This makes it useful at public ranges that do not allow anything in front of the firing line. (Same can be said for the Magnetospeed).
While the Labradar allows up to 5 distances to be chosen for downrange velocity recording, I have noticed that an additional .CSV file it creates for each shot group lists the velocities all the way to the target, with an additional "SN" metric that I assume is signal-to-noise ratio. I know that it can see a .223 bullet out to around 75 yards, but I want to set it up on a range farther than 100 yards just to see how far larger bullets can be seen by the radar.
I have used the app with the Labradar, and it is basically a remote control for the Labradar. Anything that can be done with the front panel on the Labradar can be done in the app, but MUCH more easily. I just wish the app could store/email the data, but all the data still have to be accessed through the USB interface, or from the memory card directly.