Do you have any images of the space?

I'm not an expert, but we have renovated a pool and made 1 big mistake. We had similar coping that formed a big hob all the way around (unlike yours). We leveled it out with paving (and then coated the pebblecrete with an epoxy sandstone-look product). The mistake? Part of the yard sloped down to the pool. Every time it rained.....all the sand, dirt and debris from down the side of my house and around the pool went straight into the pool. If we had our time over- we'd leave a small hob around the side of the pool where the land sloped down. Yours looks like it is on the downside of your house with some garden. The hob might be there for a reason.....as we learned.

Some interesting reading: http://www.geostone.com.au/blog/decorative-concrete-seamless-perfection-pool-surrounds/

Please ignore turf around pool. My husband was given for free and he was trying things out. The edging is pebblecrete and quite dated. there is heaps of concrete surrounding pool and we contemplated polishing it a bit to tidy up - nothing slippery. Any tips on what to do on pebbleCrete edging