Can I get my case transferred to another court room and how?
If a judge has already made a ruling on an issue of substance (not an Ex Parte usually) then you are stuck with that judge. If this judge has not made any rulings and not heard any matters, you have within 10 days of the assignment of judge to ask for a new one. (170.6 Disqualification of Judge form). You get a new one without the need to say why. BUT you can only do it once per case. If there is a Judge that has an actual bias or conflict you can always Motion to have them removed but it takes a lot. I totally agree that you should be careful, the next one you get can totally be worse.
You can't. It is referred to as Judge Shopping. However if the judge has made no orders or findings in your case you can file a 170.6 to get another judge.
It depends on how old your case is, whether there have been any hearings, whether both parties have appeared in the case yet. See Code of Civil Procedure §170.6. That being said, be careful for what you wish for. You could end up some place worse.
Family Law Attorney
Generally, no, but why are you trying to do this? If a judge has already made decisions in your case, and your only reason for wanting to "transfer" is that you don't like the judge's decisions, then the answer is almost certainly no.