Can I replace this ceiling fan with a "normal" ceiling fan?

You should be able to just swap it out with any fan. You could put just a light fixture there as well instead of a fan. I would make sure you have an actual box that is made for a ceiling fan though. Any metal box should be ok too.

Does your light work when the fan is not on? If so, that means you have a hot wire, a switch leg (from the switch), and a neutral wire there. Usually I like the fan to be hot all the time and use the pull switch for the fan speed. Here is how to do that.

-Find out which wire is hot and which is the switch leg.

-Shut the power off

-Change your speed control to a regular switch.

In the box...

-Hook up white to white

-Hook up fan black to the hot wire

-Hook up the fan blue to the switch leg.

That will do it for you!

It's been a lil while since I changed one, but you have the option of connecting the fan power and light power together or separately. Since you only have a fan rheostat on the wall, most likely you should just keep the light on the pull chain and run the fan power back through the switch. Every ceiling fan fixture I've ever put up or taken down has the option.

almost all ceiling fans will work there ..two things to look out for head room , and will the ceiling hold up the weight there are alot of ways to fix any problem . go in Attic support ceiling if needed

Well, "Boston Fan" beat me to it. He's dead on.