Hi, I've had a set of DCOEs on my TR4 for 20+ years. They are great carbs and replaced the original SU set that were giving me fits. The first concern is that there are a great many different Weber models. The side draft or DCOE are primarily a high performance carb and work best with other modifications, such as an exhaust header, increased compression and various head work to get the motor to breathe better. Side drafts really should be used with a mechanical advance distributor, which means either modifying your original or replacing it with a Mallory or similar.
Certain downdraft models might work better for daily driver usage with minimal engine mods, but you can also just set up a DCOE with modest jetting that doesn't take full advantage of the carb and engine potential.
Even within the DCOE design, there are a number of different models. Originally, DCOE 42s were often used on TR4s and 4As. It was a good size for the car, plus this model was widely available and relatively cheap in the mid to late 60 and early 70s. Now, though, the 42s haven't been made in some years and are getting hard to find parts for. However, if you pick up that Weber tuning book, you may find the 42s are still specified for your car.
Alternatives most often used on TR2 thru TR4A are DCOE 40 or DCOE 45. The smaller 40s need some of the larger available choke tubes installed to work properly most instances. The 45s typically use smaller choke tubes, unless the engine is highly modified. And, even within these two models, there are a lot of variants. For example, my Webers are DCOE 40/18s, which don't use the same ram pipes as many other 40s, seem to have been designed for use without ram pipes.
Using the smaller 40s, with the proper jetting and a mildly modified motor, my car ran great for ten years until engine and suspension wear and tear sent it to storage awaiting a proper rebuild. I'm now restoring the car and will be putting the same Webers back on. Rejetting will be necessary since I moved from high alititude to near sea level, and the motor is getting a few more modifications.
So, since you have the carbs, first I hope they are one of the models recommended for the TR4. The next thing is to pick up the Haynes book on Webers (some editions include SUs and Stroms). It will help you understand how the carbs work and provide a lot of info, such as the basic jets to start out with.
There are a number of little things that are important. The fuel system needs to be regulated to around 3-3.5 psi with most Webers. If you are installing DCOEs, you might want to take a look at
www.cruzers.com/~twakeman/TR/WeberDCOEinfo.htm
Also, with DCOEs in particular, mounting is important. Special rubber bushings are used to isolate the carbs from vibration. Equally important is to rig a brace to support the heavy carbs and manifolds.
One of the best sources for Weber related parts is
www.piercemanifolds.com
In general, setting up will take a little time and can be expensive... everything from ram pipes to air filters to swapping jets to get your car to run just right. And, every car is different, depending upon modifications, altitude, engine condition, etc. But, once a set of Webers is dialed in, you can pretty much rule out carb problems!