Bananabump, no experience of terries sorry. We didn't use them because of drying time, same with Kooshies, and because of their bulk.
We used Nappies4Real Nappy Laudry service for the first 6 months. Not sure if they cover Wrexham but know that they do deliver over a fairly wide area. They were great, they use prefolds, but after 6 months we bought Motherease. Found the Motherease much better than the prefolds, but did buy a few prefolds too. The problem we had with prefolds was containment but think that might have been because I didn't do any of the fancy folds and DS was BF.
With prefolds you usually have to buy 3 different sizes over the time you will use them but this is much cheaper if you can make your own. I think that there is a couple of website which will give you guidance if you want to do this.
If drying is an issue, then have heard that the Fluffles are good and have you considered pseudo-all in ones, like Fuzzi Bunz. They have all the ease of the all-in-ones like Kooshies but not the hassle of the drying time? You can also make your own nappies to go inside if you really want too or just use prefolds. The only problem with them is that you need so many wraps. We used them but only had a couple. We used them mainly if we were out or if granny was left in charge. Both grannies were great though and just go on with any nappies we used!
Have you checked with your local council to see if they have any incentive schemes, they usually give you some money off. Ours give either money off, a free month with the nappy laundry service or a small trial pack with the use of an advisor.