My Oh and i used to bicker a lot, we have got more used to each other now and don't tend to do it so often.
Sometimes it's not the bickering but why you bicker is the issue.
We used to do it a lot because i was frustrated with work life etc etc. Once i changed job and have some hope of migrating to another country (sorry i don't mean to sound disrespectful of the UK) i was a lot calmer.
maybe if you can identfy why you nicker you might be able to elimiate those factors.
But you do have to take an honest look at the realtion ship and your self (and if you can get him to do the same to himself, good luck with that). It can be a sign of bigger problems or can could easily not.
have you always bickered or were you/ are you friends?
If you were once or are still friends it could easily frustration with something in life, if you weren't it might require more work to make the relationship betweeen you work out.
I am sure you can do it though.
Sandi