OMG this is one reason why I don't become remotely friendly with new neighbours. Just say hello and move on. This couple are taking the piss out of you @Popcornlassie28 You are literally going to have to say 'no I'm not doing that. I have too much going on to keep giving people lifts and doing favours.'
We had new neighbours move over the road last summer, (a couple - aged 30-ish, no kids, Louise and Ryan...) TWICE they said - once him, once her , a fortnight apart - 'you can mow our lawn if you like!' when DH was mowing our 2 lawns. DH just said 'er ha ha' and carried on, coz it's banter right! People say that! Ditto when I was planting bedding plants and seeds, she said 'your flowers look nice... fancy having a go at our garden beds?' I just just smiled and said 'erm her ha ha...' #awkward
Then Ryan's parents (who lives some 100 miles away) came to visit them one day, and his dad came over to me when I was pulling up a weed or two, and said 'feel free to help Louise and Ryan with their garden. They don't 'do' gardening. They need the help. They are very busy people.' I thought 'well wtf did they get a house with a garden for then?' 
I instantly popped into the house and grabbed a leaflet that had been put through our letterbox from 'Dave the Gardener' advertising his services, and said 'pass this on to them. Quite honestly there is zero chance of us helping. We have a huge garden of our own (corner plot,) and we struggle with our own garden. We used Dave here when we were both unable to mow the lawns for a few months. He's fab.' He just said 'oh' and walked off. Didn't thank me for the leaflet, and actually seemed annoyed I had said no.
Also, Louise saw me coming back from a walk a couple of times - and said 'been anywhere nice?' I said 'yeah a walk in the woods...' She said 'next time you go, let me know, you can take Charlie with you, (their dog,) he loves a walk in the woods.' 
So this random new neighbour who I am pretty sure didn't even know my surname, my DC names, or anything about me, and who met me 2-3 months before, thought it appropriate to tell me I can be her free dog walker, as well as her gardener. I said 'oooh no thanks, I don't want to be responsible for someone else's dog.' 'Oooh that's fine' she said 'don't worry, Charlie will be OK. Just knock next time you're going.' Didn't even register the fact I had said NO.
It gets better. Around October/November, Louise said she and Ryan are trying for a baby. She and her parents (who live around 80 miles away,) were on the driveway when I was cleaning the car, and she said 'it's OK that you live 2 hours drive away, we have Sabre over the road there to do babysitting!'
(I work from home and am often in, and apparently this means I can babysit some random fucker's kids.') 
I said 'ha ha, I don't think so. Done my childrearing, and done it for 25 years. I'm in no hurry to look after anyone else's kids.' She said 'awww when our baby is here you'll think differently. Old people love babies.'
'Old' people?! We are not even 55 yet!
I actually just walked off. Absolute fucking nerve. She will get a short shrift if she tries to dump her baby on me (when she has it.) I have no interest... not a single jot... in looking after someone else's baby. Only my own grandchildren when - or if - I actually have them!
We have put a gate at the bottom of the back garden now, to avoid going out the front, so we don't bump into them. (They live opposite.) Summer's on it's way, and I KNOW the 'fancy doing our garden/ weeding/ planting/ sowing/ mowing the lawn, and walking our dog' comments will start.
That was a bit long sorry!
The cheeky neighbours the OP has reminded me of the CF couple across the road! BE STRONG OP. Say no, no, and no again, and then say NO some more. Be prepared for them to resist, but stand firm.