First of all, you need to buy a blood glucose meter. This is a very useful tool as you can use it to see how your blood sugars react to your food choices and give you the opportunity to tweak your diet.
Secondly, you need to know what your HbA1c blood tests have been, from the one that you were diagnosed with to present time. This is the test used to diagnose diabetes, so if you have a diagnosis you will have had the HbA1c. You can ask for print outs of your blood test results, and if you live in England you can also ask if your surgery puts test results on-line as English surgeries are supposed to do. (a few surgeries don't do this but most do)
You are quite right that anaemia can falsify the HbA1c results. This usually makes the HbA1c lower than expected, but in some types of anaemia it can raise the HbA1c. Doctors should be well aware of this. In these cases you can be given a different blood test called a Fructosamine test although these are rarely given in the UK mainly because the blood has to be sent to a lab that will measure these, and very few labs do this. You could also ask for an oral glucose tolerance test. This is the test used on pregnant ladies and is widely available in surgeries.