Hello Janek55,
There are many brokers around with good spreads and service. I recommend you to look the information of each forex broker reviewed at our site, in there you will find the spread each one of them has for the majors.
Remember there are two types of brokers: dealing-desk and non-dealing-desk, in general non dealing desk offer tighter spreads but they also charge a commission. So, feel free to loo around, here is the link:
Forex Brokers
If you have more questions please let me know...
Berts