Hello, so..she's over the cold and we've moved house

Naps have returned to her usual sleep times which is good but she does have some night wakings around 2am and wondered if you clever mums could let me know if you think there is anything I should change to make the night times even better

She turned 9months on the 1st Dec. No interest in crawling, just wants to stand up (not yet unaided) all the time and is now taking lots of steps when held which is very cute! Eats solids very well and so far enjoys all that she's tried.
Her day time naps:
First nap is 2.5-3hours after waking and she sleeps for 1.5hours. I know that this is a short A time for her age but its predictably when she is tired. This will be in her cot at home.
Second A time is much longer and fits around activities. I try to get her back home for her nap but otherwise it's in the pram etc. The second A time will be 3-4 hours and she'll again sleep for 1.5 or 2 hours.
Sometimes/often the afternoon nap will be 2 hours and occasionally she's slept for 2 hours both morning and afternoon but I think that is when she has had a very busy day eg whilst we we moving.
There is no set time for the second nap and she might wake as late as 5 or 5.30pm but is always tired again
And ready for her usual bed time of 07.30 (in bed).
She has started waking around 0130-0200 and usually just putting the dummy back in at this time means she will go off to sleep but last night she woke and wanted a cuddle and was very hard to settle back to sleep. Waking every time she went back in the cot. We have her a bottle of milk as it is very unusual for her to be upset when she wakes and that soothed her and she went back to sleep until 0820! So perhaps she was just hungry this time. She was very clingy in the day yesterday and so I thought her waking wanting a cuddle fitted this, not sure why but always happy to give an extra cuddle to my gorgeous girl :-)
Do you think the night wakings are just her? Or something I should change in her schedule?