Tessjemimasmum, I've not heard of any meet ups in Harrogate, but it is a very Mum and child friendly place, lots of toddler groups etc.
If you're interested, although I know there are a few closer to Wetherby Road, these are the one's I go to;
Monday - puddleducks - Pannal Memorial Hall - 10:00 - 11:30
Tuesday - St Mary's Church Hall, Harlow Terrace - 1:15 - 3:00 (I help run this one)
Friday - Bilton Sure start centre, Woodfield Road, 9:30 - 11:00 (there is also a sure start centre on Wetherby Road)
There's also lots of the usual Jo Jingles, Tumble Tots etc where you can meet other Mums.
Hope the move goes well, and if you do decide to try out the Harlow Terrace Group on a Tuesday come and say Hi, you can see my picture on my profile so you'll know who I am. (Going off now to see if I've posted anything awful that I meant to keep anonymous , apart from the fact no one in rl knows I'm pregnant!)