I recommend investing a little bit of money into a budget-friendly indoor seed starting setup that includes a grow light, seedling heat mat, some seed trays, and a sturdy shelf.
In a large container mix your seed-starting mix with warm water until the soil feels moist to the touch but not soaking wet. Transfer the damp soil to your starter trays or small pots banging the tray on a hard surface a few times to remove any air pockets.
Cover your tray with a humidity dome or plastic wrap to keep in the moisture and place on a heat source such as a fairly warm spot in your home or on seedling heat mats. If the area is too cool your germination rate will be slower.
The best way to water seedlings is from the bottom. Do this by placing your seedling tray in a shallow container or sink and let the roots soak up the water from the bottom.