My nine month old has slept in three different countries, six different houses and eight different rooms..the first night is always tricky in a new place, but the key has been to to stick to the same routine wherever we are. We co-slept the first eight weeks, then cot in our room until she was five months and then her own room as I discovered after falling asleep on the sofa one night that she was capable of sleeping through the night if she wasn't disturbed by my nocturnal rustling.
Our routine is teatime no later than 5.30, bath within 40 mins of finishing tea, song on way to bedroom, say night night to something before we enter the bedroom (a picture/cat/daddy/toy), last feed in the bedroom with lights dim for a calm atmosphere, calm book, lights off (no more talking) pat/rub back if wind didn't come up during story telling, cuddle, then stand up still cuddling and pop down in the cot.
I ensure the room is generally very calm, only simple, neutral, plain stuffed toys near the cot, no bright colours/night lights/music. I even keep the monitor out of her sight line as I had found she would focus on the L.E.D glowing in the dark and not be able to switch off and sleep and I had to get rid of the night light at 16 weeks, even now if she spots the little lamp she grins ear to ear, she used to think it was her best friend and would babble at it for hours!
If she doesn't take herself off to sleep when her head hits the mattress after our usual routine, I stand just outside the door and listen to see if she is having a sleepy whinge or a proper cry, but I don't go back in for five mins. If it's just a sleepy whinge I let her continue for up to 10 mins until she quiets down and drops off. If it's full on crying, standing up and sitting up in the cot, then I go back in immediately, left alone for even five mins to cry at this point she gets into such a tizz it takes forever (several hours) to calm her down as it usually seems to mean she is either still hungry or has wind. I pick her up, give her a kiss, but don't say a word or switch the lights on, I sit back down, pat her back gently 50 times or until she stops crying, then pop her back down if I don't feel it's wind or hunger. I keep doing this until she finally gives in and goes to sleep. It has worked very well - although the past couple of nights she has been challenging! I think it does get tricky around 9/10 months when they realise life goes on while they are sleeping and also my DD seems to have a bit of separation anxiety at the moment generally which I think is affecting bedtime too.
Good luck!