We walked the full Cotswold Way in June 2022. It is not a hard trail but it is quite hilly. Depending on your walking terrain at home, the hills may be surprising.
When we walked in 2022, accommodations had to be booked far in advance. Some walkers needed to take a taxi to and from their hotels, as the near-trail accommodations were booked. This added additional time to the walking day as well as some additional walking to the taxi pick-up point. We only had to do that once, but we weren't able to start walking until 9 am that day, because the taxis were doing school runs earlier. (It was a hot day, and we would have preferred to start earlier.)
Walking the Cotswolds in 7-8 days means you are walking 13-16 miles a day. Depending on your walking pace, that may not give you a lot of time to explore the villages when you arrive, or to stop along the way. You will likely end up walking more than 100 miles, due to added time walking to accommodations, restaurants, and interesting sites (such as Sudely Castle) near the trail. It's also important to consider the cumulative effect of walking that distance day after day.
My biggest suggestion is to do a couple of days in a row of long walks (like 10+ miles) at home to see how you respond to that. Your feet will likely swell versus a 3-5 mile walk, and you will want to make sure your shoes are well broken in. That will help you know whether you would enjoy the 7-8 day experience.
If you want to consider a shorter option, Cotswold Walks has some self-guided options that walk a portion of the trail. Have fun!