Most (all?) bike pumps will work with both valve types. You may have to flip a gasket over or something. The shop where you bought it can show you.
However, hand pumps are generally not ideal to use as your only pump - you need a floor pump that can easily get up to 100 psi. It may be possible with a hand pump, but generally quite difficult and it often puts too much force on the valve stem, and if that is damaged you have to replace the inner tube. carry your hand pump on your bike with a spare tube for emergencies. I got my floor pump for $30 from a big-box retailer. Your bike shop will also likely have a floor pump to suit you.
The correct height for your seat is when your leg is almost completely straight at the bottom of the pedal stroke, with your foot roughly level and the ball of your foot over the pedal axle. You don't want significant bend in your knee at its most expended point, and you don't want to have to reach down with your foot to keep it on the pedal. This may be a different amount of extension from the frame for each rider and each bike, so don't worry that others' bikes are 'right' and yours is 'wrong'. Set yours up to be comfortable to ride for you.
If the seatpost has to be all the way down into the frame or extended past the maximum extension line (stamped into the seatpost a couple inches from its lower end) to get comfortable or achieve proper leg extension, that is generally an indicator that you might have the wrong size frame.