Some cartridge recommendations

With being New to the use of Vinyl, there are a few things that can be considered, which are not too expensive and will improve the sound that is being produced from the Vinyl Set Up if all other ancillaries needed to replay vinyl are in a good condition.

There are also forums with dedicated Threads to the SP10, but usually found under the Technics Brand name, I'm sure there are Threads to be found for the 3009 as well. 

Have a look into the mounting of the TT, is it on a very rigid support structure, not influenced to move by movement of the rooms floor?

If the Support is seemingly very rigid, the TT, can be mounted on New Feet (Improve Isolation) or a Sub Plinth with different Foot Types to support Sub Plinth and TT (Additional Improvement for TT's Isolation).

If there is a Vinyl Collection Inherited, there is considerable improvement to found for the Sound Quality when cleaned Vinyl is used.

None of these incur too much cost, but will be very advantageous to ones experiencing Vinyl being used, especially when the time comes that purchases are being made of replacement ancillaries           

The old cartridge is more than likely past it's prime and also I would worry about stylus wear. It would be a good idea to have it examined and possibly rebuilt. HOWEVER, the MC 10 has a stupidly low output and you are certain to have a poor signal to noise ratio with it. You will be much better off with a modern cartridge with a higher output. I would suggest a Soundsmith Zephyr. It will match your tonearm nicely, It has 4 times the output of the MC 10 and company support is second to none.

The Ortofon MC Super Cart's come in at 9 Grammes in weight have 0.25-0.3mv output, but more importantly have the Wide Range Damper in use, the WRD, has an impact on Sound, that is extremely impressive.

The Super series are Cart's in need of a MC Input or alternatively a SUT - Head Amp used in conjunction with a MM Input. 

The Soundsmith Zephyr is a MI design, weighs 11 Grammes and will only need a MM Input. 

I have 'no one must have preference', in my Cart' collection I own LOMC's,  HOMC's and MM's and Ceramics. At present the preference is for the use of LOMC's, which has been such for quite some time, especially when learning about the designs that can be put in place for a Cart' to be rebuilt.

As I age further, I don't quite see the need for the expense of LOMC's, as my overall hearing range will most likely not be getting the best from investments made, when that day appears is yet to be encountered.

The Ego and Forum Talk to be had, might be the area that is most beneficial from owning very expensive LOMC Cart's, when a certain period of being alive leaves one with age related hearing deficiencies. I don't need to be asked at present numerous times if a I would like a Tea or Coffee, but I do have a wife who swears I am hard of hearing. I prefer to call it hard of listening 😏. 

In general many systems can't reproduce the frequency range that a Source Material can generate, either via a Cart', CD Player or Streaming Service. Most systems will have a cap to the frequency range and Roll Off some where before the extremes.

If one has invested in a system that can reproduce such a wide range of frequency, measuring frequencies that are present in an environment between 17hz - 20Khz is not hearing 17Hz to 20Khz frequencies, as ones hearing will need to be without impairment to get to hear such frequencies.   

Fortunately for myself, replaying recorded music is viewed as merely being one method of listening to music, where listening to music in conjunction with my interest in audio, is viewed merely as a form means to create a form of entertainment.

Even though equipment can impact on the sound being produced, and this is an area of the interest I have made much time to increase experiences through encountering different equipment, the end product for myself is strictly viewed as a means to be entertained only.

For the OP, suggestions of uber expensive Tools to enable music to be replayed are best of taken as a reference to a product, but not necessarily the required purchase route, to what is going to create, what is most suitable to your learning, which is most suitable to attain what is perceived by yourself, as your own unique listening preferences.

'Experiencing Equipment' and learning through these 'in front of experiences' is the key, listening to equipment owned by others is a very prudent way to strike items  of the 'interested in list', placing them on the 'unwanted list'. 

If the SP10 was purchased new by your grandfather and if it’s never been serviced and/or was in storage for many years, you might want to consider having it evaluated for speed constancy and etc. Check speed with any inexpensive strobe device. If it appears to work fine, you might get away with doing nothing. Electrolytic capacitors die with age and especially when left uncharged for long periods of time. Replacement is cheap because lytics are cheap. I’d go with a low or mid price MM or MI cartridge. Contrary to what was written above, you don’t need to buy an expensive LOMC in order to enjoy flat response out to and beyond 20kHz.