I think it's good to start with the last question: How would the tides be affected without the Moon? The answer is simple: There would still be tides twice a day caused by the Sun, but they would be smaller. There are lots of sources online that talk about how tides from the Sun and Moon combine; without the Moon, we would just have the tides from the Sun.
In principle, there is no reason the Earth could not have a rotation period of 28 plus days, so that it kept one face towards the Moon at all times. In fact, in the unlikely event that the Earth/Moon system avoids being engulfed when the Sun becomes a red giant, the Earth eventually will have one face towards the Moon at all times, because the tides are gradually slowing the Earth's rotation. (But that would only happen after tens of billions of years.)
But imagine that was the case now, and it took just over 28 days for the Earth to rotate once. Then there would be a permanent tidal bulge under the Moon, and another one on the side away from the Moon. Over time, the rock of the planet would deform so that was in hydrostatic equilibrium just like the water, and so the whole planet would just be very slightly egg-shaped, with the longest dimension along the line from the Earth to the Moon. (It would still look perfectly spherical - it's not like you can see the tides from space.)
But, again, there would still be tides from the Sun, and they would still be twice a day, but each day would be 660 hours.
I have been using the actual Earth-Moon system as an example, and it's an especially good example, because our moon is pretty big compared to our planet. The tidal bulge would tend to keep Earth's rotation in sync with the Moon's orbit, even as perturbations from the gravity of the Sun and other planets would tend to cause the Moon's orbit to change slightly. This is what people mean when they refer to tidal locking.
If you want to imagine a natural moon that is big in the sky like ours, but orbits once in a 24-hour day, then you may have to make some compromises. If you wanted to get serious about making such a scenario realistic, do some research online to find scientists who study how the Moon was formed. Many of them have run computer simulations. If you contacted one of them directly, they might have a more detailed sense of what some plausible configurations are.