Hi E.,
I started Time out when my daughter was 9 months old who began hitting. I would tell her no and if she did it again I put her in her crib and said "we do not hit and you are in time out". I would leave her for about 20 seconds and go and get her.. . I would say, "we don't hit, I love you but hitting is not allowed". I would hug her and move on with what were doing prior to that.
As time goes on increase the amount of time for time out but never longer than a minute while she is under 1.
The crib may not work for you so you could also use a play pen. She is now old enough to create a game she is old enough to understand she gets put down when she acts like that. I now have a 10 month old boy who is the total opposite and only claps his hands and laughs. The hitting is an indication of her wonderful desire to express her stong feeelings which you will deal with for years to come!!!
My daughter now 2 is still just as passionate as she was at 9 months. I have found that because I have always handled... hitting, throwing, bitting and kicking the same way the behavior does not last long.
However your daughter will revisit all of the above several time over the next few years. Be firm, don't yell... just be matter of fact and consistant with your response.
Being loving does not mean letting your children hit you or being passive! I have a friend that thought "don't do that" and tried to distract him was a good solution for her son. Our children are in play group together. Now she has a 2 year old son who hits, kicks not only her but other children as he has never had a consequence for his actions. She always says "I don't know what to do" but frankly she has never done anything!!!
Be aware of your daughter as she changes and look at new options as she too learns and grows!
Best of luck,
H.