Several things here.
It is not only the output, that is different between MC and MM cartridges, but the impedance. The latter is just as significant, if not more so than the voltage output.
So you can either use a transformer, or a an MC preamp. However you can be certain a transformer will present the correct impedance match and increase voltage.
If you use a transformer then you connect to an RIAA input and not a line input.
If you use an MC preamp, then you connect to a line input, and certainly not an RIAA input. If you do the latter you will have two RIAA corrections which will not sound correct.
Now I'm pretty sure the Dunlavy uses transformers and is NOT a preamp, but I can not be certain. However if the unit plugs into the AC it is a preamp, if it does not then it uses transformers.
Now your cartridge is low output, about half of most MCs . So yes, you will need a high gain MC preamp.
Now as I understand it, Dunlavy produced his transformers specifically for that cartridge. So if that Dunlavy unit does not plug into the AC, then it is a transformer and you need to plug it into an RIAA equalized input.
Lastly that is an old cartridge and may not be working correctly. It comes from an era when magnets lost flux over time. The other issue is that the stylus is not user replaceable on an MC. I doubt there is anyone one on earth who can rebuild that cartridge. You should have the stylus professionally examined and checked for wear.
If it is worn you will ruin your record collection.
I have done a search for you and high gain MC preamps are not plentiful.
This one claims 75 db of gain on the MC input. If true, then this is what you need, if that Dunlavy unit is not the one designed for your cartridge.
Unfortunately Jerry Raskin who owned Needle Doctor died recently. Needle Doctor is no more and closed. Jerry would have been able to tell you exactly what to do.
However, I have to stress that you must have at least the cartridge stylus checked before you spend any more money.
My last thought is that MC cartridges have a habit if being far more trouble than they are worth. My late father was keen on them, but I personally never have been. That is probably a hanging offence to the Audiophool crowd.