It is probably just the tube that has a hole. You tires don't look worn enough to be a problem. Unless then have a big hole/gash in them.
You can fix that with a patch, or a new tube. The size of your tire and corresponding tube is printed on its sidewall.
The type of valve you have is "schradder".
- get the wheel off the bike. you need a wrench, as you dont have a quick release.
- Deflate the tube and take the tire and tube off from the wheel. Tire levers make it easier but are not necessary for wide tires like yours. Look up videos on how to do this.
- locate the puncture on the tube
- Inspect the inside of your tire and your wheels rim to locate and remove/fix any debris/anomaly that could have caused a puncture (e.g. shards of glass, badly placed rim tape). If you have been riding with low tire pressure, you could also just have a pinch flat.
- fix the tube with a patch (abrade near hole, apply vulcanising solution, let dry, apply patch firmly) or use a new tube
- Reassemble the tire and tube on the wheel: place one bead of the tire back on the wheel. Insert the tube inside the tire. Place the other bead inside the rim, making sure not to pinch the tube between the rim and the tire. Look up videos on how to do this part.
- inflate the tires just a little bit
- make sure that everything is well in place: tire bead is seated properly and evenly, valve is not pushed against the side of the hole, etc.
- Finish inflating the tire
- put wheel back on the bike