Yes the one I linked comes with the bulb and the fixture, all you need to get going. The bulb should be good for at least a year, but the output does fade over time. If you don't have a Solarmeter to check it (they are expensive) the general rule of thumb is to replace the bulb every year or so, but I typically get 2-3 years out of the Arcadia bulbs I've had so far.
I'd avoid reptile carpet. That tends to trap food and poop and start to stink. You can clean it in the washing machine and air dry it, but it tends to get tattered pretty quickly. I prefer using non adhesive shelf liner which is cheap to replace and easy to clean and sanitize. I've used ceramic tile too, but while easy to clean it can be tough on their feet if they run around a lot.
For water, they get a lot of what they need from fresh food. Be sure to feed bugs fresh veges to
hydrate them and offer a nice salad with fresh veges every day. You can use a water dish but sometimes they need to be trained to drink from it. You can do this by flicking at the water to create movement. It can take a bit of time but they usually learn to drink from it when
thirsty. They may not always be
thirsty though so if they refuse water, don't worry about it too much. You can also offer water by dripping it on their nose to lick up using a plastic syringe or dropper. Water features look nice and create movement, but can be difficult to clean and sanitize.
I don't bother monitoring humidity. Generally it's recommended to keep it between about 40-60% but if the air in the room doesn't feel humid to me, I don't worry about it. If you do monitor it, be sure to calibrate your hygrometer so you're getting a reasonably accurate reading.