Hi Krisztina,
Great question. I always do a annealing temperature gradient whenever I get some new primers, starting from 50-70deg in a 8 well strip. Don't even bother really looking at the predicted Tm beforehand, as it will change depending on your enzyme, buffers, PCR machine etc. Once you have done the PCR, simple run it on a gel. What you are looking for is the highest temperature you still get a good product, ie. good band on the gel, after which the temperature is too high and you lose product, i.e.. the band disappears. Hopefully, you will only see a single band at the expected size! If further Tm refinement is needed, you can have a smaller gradient range on the next PCR, however, this is usually not necessary.
Does that make sense?