I got a Park Tool FR-1 thinking it was what I needed, but it does not fit either of the 2 10-speeds I'm working on (nothing special, just a Murray & a Huffy both from 1982). The Murray's rear hub has 9 splines and is approx. 1-1/4" dia. and the Huffy's hub has 12 splines and is approx. 3/4" dia. Does anyone have any idea what freewheel tools I need?

If it's one I don't have, and figure never to use again or little, I pay the $5 and have the shop remove it for me. Usually passed on to the person who's bike it is.

When you order a tool the specs tell you what brands/models it will fit. Is there no indication of brand on the face of the freewheel immediately next to the remover splines? That would be important information before ordering a tool or posting for information. However that is irrelevent in the case of one of your "freewheels."

There are no 9 spline freewheel removers, nor any that are 1 1/4 inches in diameter. I believe that what you are looking at is a Uniglide cassette, such as this:



I suggest you go to Sheldonbrown.com and Parktool.com and check the freewheel and cassette sections to educate yourself as to the differences in removal, as well as the hub section regarding overhaul of cassette vs. freewheel hubs. You will see that there are two common splined freewheel removers, although there is a less common one not mentioned that is specifically for Falcon freewheels.

https://www.parktool.com/category/freewheel-cassette

Park Tools have many freewheel remover to fit various brands of freewheel or cassette.

The faceplate on the freewheel should show a brand name. Knowing that would help immensely in determining what tool you need.

The Murray (the one I described as 9 splines and is approx. 1-1/4" dia) is a Shimano. The other one I can't identify.

I'll get some pictures posted this evening after work. I'm sure that'll help tremendously.

Here is the Murray (the one I described as 9 splines and is approx. 1-1/4" dia):


Here is the Huffy (the one I described as 12 splines and is approx. 3/4" dia):


As you can see they're both Shimano. I have a Park Tool FR-1 and an FR-5, neither of which work on either of these wheels. Any ideas?? Sorry for not knowing much on this topic, but it's kinda confusing...

One is a freewheel (bottom) and the other is a cassette (top) One you use two chain whips to remove (top) and the other you remove after you take the axle out of the hub with a freewheel tool (bottom). The two assembles will not interchange when you have them apart. It is apples and oranges. Roger

As I said earlier the 9 spline is a Uniglide cassette. As for the other all Shimano freewheels take the same remover - yours probably does not fit because the low-end provider of the hub for that Huffy wheel spec'd a spacer (or whatever that is in the center) that does not allow sufficient clearance for the remover. You will have to disassemble the axle in order to remove the freewheel.

The FR-5 is a Hyperglide cassette lockring tool, not a freewheel remover. Again, you would be well-served to educate yourself about freewheels and cassettes.

I recently worked on a Shimano FFS and the freewheel didn't use the standard Shimano remover. Fortunately the LBS had the correct one to remove it.

+1

Not so. Shimano has used at least three different freewheel remover designs over the years. In the 70s, Dura-Ace and 600 freewheels used a two-prong remover functionally identical to the old Regina two-prong remover:



Later freewheels used a thin-wall, splined remover (on the left, below) which is probably the one you're thinking of. Lower end freewheels from the 70s and into the 80s used a thick wall splined remover that required removal of the locknut and spacers to seat properly (on the right, below). I suspect this is what the OP needs for his freewheel. Alas, the thin wall remover will not work with this type of freewheel.

True, my error, although I was referring to the splined style. I worked on bikes back in the time of the original Shimano remover but was wrongly thinking it was the same diameter.

Yesterday I took the wheels to my LBS. $5 and 5 minutes later they were off.

Now , when you get the new freewheel, get the matching removal tool.