First Energy offers a program where they install a Chargepoint wall charger and it costs about $40/mth for 3 years.
If you "Chargepoint wall charger" you mean a brand called
ChargePoint's Home EVSE, then that has advantages and disadvantages over a Tesla EVSE. On the plus side, it's network-connected and it can be used with any EV, not just a Tesla. On the down side, it requires use of Tesla's J1772 adapter, so you'll either be plugging and unplugging the adapter with every use or you'll need to buy a second adapter to keep constantly with the EVSE (assuming you want to keep one with the car for charging away from home). Some utilities use network-enabled EVSEs' network features to facilitate "smart" charging, and it's conceivable that yours is trying to promote this type of use. If so, they may offer you a special rate, and that may be an important point in your decision, so look into this possibility. OTOH, such deals might limit when you can charge, which might be a problem.
If you're not getting a special rate, then this doesn't look like a great deal. The total price is $1440, which is way more than this EVSE is worth (it sells for about $600, and Tesla's is about $500); however, if that price includes installation, it might not be so bad -- but that depends on your home, how far the EVSE would be from your breaker box, what other electrical upgrades might be required, etc. You might want to call an electrician to get an estimate on installing an EVSE or NEMA 14-50 outlet.
One more point is that the ChargePoint Home (if that's what's being offered) delivers 32A to the car. So does Telsa's Mobile Connector that comes with the car. Tesla's Wall Connector, though, can deliver more, at least to the long-range Model 3s -- up to 48A, IIRC. If I'm not mistaken, mid-range and lower-range Model 3s are limited to 32A. A higher-amp EVSE will charge the car more quickly. IMHO, the difference between 32A and 48A isn't likely to be a big deal for a LR Model 3 unless you drive
a lot, but I thought I'd mention it.
My question is, do I need the chargepoint charger to charge my Model 3? Or can I just have the electrician install a 240 line and use my mobile connector to attached the 240 to the Model 3? And I do not need any chargepoint or tesla charger?
Technically, the charger is built into the car. The device that plugs into a wall outlet or is hard-wired to your house, and whose other end plugs into a car, is generically called an Electric Vehicle Supply Equipment, or EVSE. Tesla's Mobile Connector is an EVSE that comes with the car, and Tesla also offers a Wall Connector that's designed to be mounted to a wall. If you want to charge at home, you need some variety of EVSE, but many Tesla owners use the one that comes with the car, typically plugged into a NEMA 14-50 or other 240v outlet, and are happy with that. Buying something else makes it easier to carry the mobile connector with you at all times, and in some environments, you might prefer to have something permanently installed. For instance, I park outside (I have a driveway but no garage), so I wanted something with serious weather-proofing that can be mounted permanently. People with garages may be just as happy to leave their Mobile Connectors sitting on a counter or hung from a hook on a wall inside the garage most of the time.