Laptop batteries are almost always li-ion of some sort. Read up on charge and discharge parameters for such devices and use specific ICs designed to control such batteries. They are temperamental and can easily fail, both violently or slowly, if not managed correctly. DO NOT use chargers that are not specifically designed for LI-ion. They won't work.
Adding to the respected colleague Tony, as a power electronic part , you use a battery charge controller which is fed from a PV array. Since the nominal voltage of the laptop battery is 10.5V , capacity about 4 Ah, charging current about 2.A you may use 12 volt module with DC/DC converter to charge the batteries. You can find the details of charge controller electronics introduced in detailed in the paper at the link: https://www.researchgate.net/publication/290436504_Enhancing_the_design_of_battery_charging_controllers_for_photovoltaic_systems
Sabo, another issue that you will face is, if you are using USED batteries, they will have certainly started to deteriorate. All these devices will age in slightly different ways, to differing degrees. If you intend to parallel up batteries then I STRONGLY recommend that you only use batteries that are of similar characteristic, ie hold the same level of charge, or have aged to the same degree. Ganging batteries, especially Li-Ion of different capacities is NOT advisable as the charging circuit won't know what it should be doing. If you overcharge an old Li-Ion battery, then expect it to catch fire or even explode. It is NOT safe to mishandle these devices.
I would recommend that you use compressed air technology to store energy. It is more efficient and much cheaper. This of course is only my opinion, but I advise you to simply analyze the effectiveness of each option.